LISTA DELLE PUBBLICAZIONI MAURO NACINOVICH

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MAURO NACINOVICH

References

[1] Mauro Nacinovich. Monotone operators of finite degree. Boll. Un. Mat. Ital.

(4), 6:134–139, 1972.

[2] Mauro Nacinovich. Una osservazione su una congettura di De Giorgi. Boll.

Un. Mat. Ital. (4), 12(1-2):9–14, 1975.

[3] A. Andreotti and M. Nacinovich. Analytic convexity. Some comments on an example of de Giorgi and Piccinini. In Complex analysis and its applica- tions (Lectures, Internat. Sem., Trieste, 1975), Vol. II, pages 25–37. Internat.

Atomic Energy Agency, Vienna, 1976.

[4] A. Andreotti and M. Nacinovich. Complexes of partial differential operators.

Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 3(4):553–621, 1976.

[5] A. Andreotti and M. Nacinovich. Some remarks on formal Poincar´ e lemma.

In Complex analysis and algebraic geometry, pages 295–305. Iwanami Shoten, Tokyo, 1977.

[6] Aldo Andreotti and Mauro Nacinovich. Th´ eorie ´ el´ ementaire de la convexit´ e.

Recherche Coop´ erative sur Programme n25, 24:1–12, 1977.

[7] Aldo Andreotti and Mauro Nacinovich. Convexit´ e analytique. In Fonctions de plusieurs variables complexes, III (S´ em. Fran¸ cois Norguet, 1975–1977), volume 670 of Lecture Notes in Math., pages 341–351. Springer, Berlin, 1978.

[8] Aldo Andreotti and Mauro Nacinovich. Convexit´ e analytique. II. R´ esultats positifs. In Fonctions de plusieurs variables complexes, III (S´ em. Fran¸ cois Norguet, 1975–1977), volume 670 of Lecture Notes in Math., pages 388–393.

Springer, Berlin, 1978.

[9] Aldo Andreotti and Mauro Nacinovich. Domaines de r´ egularit´ e pour les op´ erateurs elliptiques ` a coefficients constants (une fonction inconnue).

Recherche Coop´ erative sur Programme n25, 26:1–13, 1978.

[10] Aldo Andreotti and Mauro Nacinovich. On the envelope of regularity for solutions of homogeneous systems of linear partial differential operators. Ann.

Scuola Norm. Sup. Pisa Cl. Sci. (4), 6(1):69–141, 1979.

[11] Aldo Andreotti, Gregory Fredricks, and Mauro Nacinovich. Differential equa- tions without solutions. Rend. Sem. Mat. Fis. Milano, 50:11–22 (1982), 1980.

[12] Aldo Andreotti and Mauro Nacinovich. Analytic convexity. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 7(2):287–372, 1980.

[13] Aldo Andreotti and Mauro Nacinovich. Noncharacteristic hypersurfaces for complexes of differential operators. Ann. Mat. Pura Appl. (4), 125:13–83, 1980.

[14] Aldo Andreotti, Gregory Fredricks, and Mauro Nacinovich. On the absence of Poincar´ e lemma in tangential Cauchy-Riemann complexes. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 8(3):365–404, 1981.

Date: October 18, 2019.

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[15] Aldo Andreotti and Mauro Nacinovich. On analytic and C

^∞

Poincar´ e lemma.

In Mathematical analysis and applications, Part A, volume 7 of Adv. in Math.

Suppl. Stud., pages 41–93. Academic Press, New York, 1981.

[16] Aldo Andreotti and Mauro Nacinovich. On the theory of analytic convexity. In Symposia Mathematica, Vol. XXIV (Sympos., INDAM, Rome, 1979), pages 145–152. Academic Press, London, 1981.

[17] Aldo Andreotti and Mauro Nacinovich. The “Poincar´ e lemma” for complexes of differential operators. In Proceedings of the mathematical congress in cele- bration of the one hundredth birthday of Guido Fubini and Francesco Severi (Turin, 1979), volume 115, pages 177–186 (1982), 1981.

[18] Mauro Nacinovich. On the absence of Poincar´ e lemma for some systems of partial differential equations. Compositio Math., 44(1-3):241–303, 1981.

[19] Mauro Nacinovich. Complex analysis and complexes of differential operators.

In Complex analysis (Trieste, 1980), volume 950 of Lecture Notes in Math., pages 105–195. Springer, Berlin, 1982.

[20] Mauro Nacinovich. On the solvability of systems of differential equations.

Boll. Un. Mat. Ital. C (6), 1(1):107–135, 1982.

[21] Mauro Nacinovich. A remark on differential equations with polynomial coef- ficients. Boll. Un. Mat. Ital. B (6), 1(3):979–989, 1982.

[22] Mauro Nacinovich. On global solvability for some systems of partial differen- tial equations. Rend. Sem. Mat. Univ. Politec. Torino, Special Issue:181–191 (1984), 1983. Conference on linear partial and pseudodifferential operators (Torino, 1982).

[23] Mauro Nacinovich. On weighted estimates for some systems of partial differ- ential operators. Rend. Sem. Mat. Univ. Padova, 69:221–232, 1983.

[24] M. Nacinovich. Poincar´ e lemma for tangential Cauchy-Riemann complexes.

Math. Ann., 268(4):449–471, 1984.

[25] Mauro Nacinovich. On boundary Hilbert differential complexes. Ann. Polon.

Math., 46:213–235, 1985.

[26] Mauro Nacinovich and Giorgio Valli. Tangential Cauchy-Riemann complexes on distributions. Ann. Mat. Pura Appl. (4), 146:123–160, 1987.

[27] M. Nacinovich. Tangential Cauchy-Riemann systems. In Recent developments in hyperbolic equations (Pisa, 1987), volume 183 of Pitman Res. Notes Math.

Ser., pages 225–239. Longman Sci. Tech., Harlow, 1988.

[28] Mauro Nacinovich. On strict Levi q-convexity and q-concavity on domains with piecewise smooth boundaries. Math. Ann., 281(3):459–482, 1988.

[29] Mauro Nacinovich. Cauchy problem for overdetermined systems. Ann. Mat.

Pura Appl. (4), 156:265–321, 1990.

[30] Mauro Nacinovich. Overdetermined hyperbolic systems on l.e. convex sets.

Rend. Sem. Mat. Univ. Padova, 83:107–132, 1990.

[31] Mauro Nacinovich. On a theorem of Airapetyan and Henkin. In Geometry Seminars, 1988–1991 (Italian) (Bologna, 1988–1991), pages 99–135. Univ.

Stud. Bologna, Bologna, 1991.

[32] C. Denson Hill and M. Nacinovich. A necessary condition for global Stein immersion of compact CR-manifolds. Riv. Mat. Univ. Parma (5), 1:175–182 (1993), 1992.

[33] C. D. Hill and M. Nacinovich. The topology of Stein CR manifolds and the Lefschetz theorem. Ann. Inst. Fourier (Grenoble), 43(2):459–468, 1993.

[34] C. Denson Hill and Mauro Nacinovich. Embeddable CR manifolds with

nonembeddable smooth boundary. Boll. Un. Mat. Ital. A (7), 7(3):387–395,

1993.

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[35] Mauro Nacinovich. Approximation and extension of Whitney CR forms. In Complex analysis and geometry, Univ. Ser. Math., pages 271–283. Plenum, New York, 1993.

[36] Chiara Boiti, Mauro Nacinovich, and Nikolai Tarkhanov. Hartogs-Rosenthal theorem for overdetermined systems. Atti Sem. Mat. Fis. Univ. Modena, 42(2):379–398, 1994.

[37] C. Denson Hill and Mauro Nacinovich. A collar neighborhood theorem for a complex manifold. Rend. Sem. Mat. Univ. Padova, 91:24–30, 1994.

[38] C. Denson Hill and M. Nacinovich. Duality and distribution cohomology of CR manifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 22(2):315–339, 1995.

[39] C. Denson Hill and Mauro Nacinovich. Aneurysms of pseudoconcave CR man- ifolds. Math. Z., 220(3):347–367, 1995.

[40] C. Denson Hill and Mauro Nacinovich. The Jacobian theorem for mapping of pseudoconcave CR hypersurfaces. Boll. Un. Mat. Ital. A (7), 9(1):149–155, 1995.

[41] Chiara Boiti and Mauro Nacinovich. Extension of formal power series solu- tions. Rend. Sem. Mat. Univ. Padova, 96:205–235, 1996.

[42] C. Denson Hill and Mauro Nacinovich. On the Cauchy problem in complex analysis. Ann. Mat. Pura Appl. (4), 171:159–179, 1996.

[43] C. Denson Hill and Mauro Nacinovich. Pseudoconcave CR manifolds. In Com- plex analysis and geometry (Trento, 1993), volume 173 of Lecture Notes in Pure and Appl. Math., pages 275–297. Dekker, New York, 1996.

[44] C. Medori and M. Nacinovich. Pluriharmonic functions on abstract CR man- ifolds. Ann. Mat. Pura Appl. (4), 170:377–394, 1996.

[45] Mauro Nacinovich and Alexandre Shlapunov. On iterations of the Green in- tegrals and their applications to elliptic differential complexes. Math. Nachr., 180:243–284, 1996.

[46] C. Boiti and M. Nacinovich. The overdetermined Cauchy problem. Ann. Inst.

Fourier (Grenoble), 47(1):155–199, 1997.

[47] C. Medori and M. Nacinovich. Levi-Tanaka algebras and homogeneous CR manifolds. Compositio Math., 109(2):195–250, 1997.

[48] Laura De Carli and Mauro Nacinovich. Unique continuation in abstract pseu- doconcave CR manifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 27(1):27–

46 (1999), 1998.

[49] C. Denson Hill and Mauro Nacinovich. Simplicially q-pseudoconcave CR man- ifolds and wedge decomposition. In Geometry Seminars, 1996–1997 (Italian) (Bologna), pages 111–124. Univ. Stud. Bologna, Bologna, 1998.

[50] Costantino Medori and Mauro Nacinovich. Classification of semisimple Levi- Tanaka algebras. Ann. Mat. Pura Appl. (4), 174:285–349, 1998.

[51] Mauro Nacinovich, Alexandre Shlapunov, and Nikolai Tarkhanov. Duality in the spaces of solutions of elliptic systems. Ann. Scuola Norm. Sup. Pisa Cl.

Sci. (4), 26(2):207–232, 1998.

[52] Chiara Boiti and Mauro Nacinovich. Overdetermined systems in spaces of (small) Gevrey functions. In 9th Int. Coll. on Differential Equations, Pro- ceedings, pages 39–46. VSP, Utrecht, The Netherlands, 1999.

[53] C. Denson Hill and Mauro Nacinovich. Leray residues and Abel’s theorem in CR codimension k. Ann. Mat. Pura Appl. (4), 176:287–322, 1999.

[54] C. Denson Hill and Mauro Nacinovich. Solvable Lie algebras and the embed-

ding of CR manifolds. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8),

2(1):121–126, 1999.

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[55] Mauro Nacinovich, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. On Car- leman formulas for the Dolbeault cohomology. Ann. Univ. Ferrara Sez. VII (N.S.), 45(suppl.):253–262 (2000), 1999. Workshop on Partial Differential Equations (Ferrara, 1999).

[56] Chiara Boiti and Mauro Nacinovich. On the equivalence of Phragm´ en-Lindel¨ of principles for holomorphic and plurisubharmonic functions. Matematiche (Catania), 55(suppl. 2):55–70 (2001), 2000. Partial differential equations (Ital- ian) (Pisa, 2000).

[57] Chiara Boiti and Mauro Nacinovich. The overdetermined Cauchy problem with growth conditions at infinity. Ricerche Mat., 49(suppl.):95–134, 2000.

Contributions in honor of the memory of Ennio De Giorgi (Italian).

[58] C. Denson Hill and Mauro Nacinovich. Conormal suspensions of differential complexes. J. Geom. Anal., 10(3):481–523, 2000.

[59] C. Denson Hill and Mauro Nacinovich. A weak pseudoconcavity condition for abstract almost CR manifolds. Invent. Math., 142(2):251–283, 2000.

[60] Costantino Medori and Mauro Nacinovich. Complete nondegenerate locally standard CR manifolds. Math. Ann., 317(3):509–526, 2000.

[61] Chiara Boiti and Mauro Nacinovich. The overdetermined Cauchy problem in some classes of ultradifferentiable functions. Ann. Mat. Pura Appl. (4), 180(1):81–126, 2001.

[62] C. Denson Hill and M. Nacinovich. Pseudoconvexity at infinity. In Selected topics in Cauchy-Riemann geometry, volume 9 of Quad. Mat., pages 139–173.

Dept. Math., Seconda Univ. Napoli, Caserta, 2001.

[63] C. Denson Hill and M. Nacinovich. Two lemmas on double complexes and their applications to CR cohomology. In Selected topics in Cauchy-Riemann geometry, volume 9 of Quad. Mat., pages 125–137. Dept. Math., Seconda Univ. Napoli, Caserta, 2001.

[64] C. Medori and M. Nacinovich. Standard CR manifolds of codimension 2.

Transform. Groups, 6(1):53–78, 2001.

[65] Costantino Medori and Mauro Nacinovich. The Euler characteristic of stan- dard CR manifolds. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), 4(3):783–791, 2001.

[66] Costantino Medori and Mauro Nacinovich. Maximally homogeneous nonde- generate CR manifolds. Adv. Geom., 1(1):89–95, 2001.

[67] J. Brinkschulte, C. Denson Hill, and M. Nacinovich. Obstructions to generic embeddings. Ann. Inst. Fourier (Grenoble), 52(6):1785–1792, 2002.

[68] C. Denson Hill and Mauro Nacinovich. On the failure of the Poincar´ e lemma for the ∂

_M

complex. Math. Ann., 324(2):213–224, 2002.

[69] Costantino Medori and Mauro Nacinovich. The Levi-Malcev theorem for graded CR Lie algebras. In Recent advances in Lie theory (Vigo, 2000), vol- ume 25 of Res. Exp. Math., pages 341–346. Heldermann, Lemgo, 2002.

[70] Mauro Nacinovich and Rosanna Schianchi. Semicontinuity of a functional depending on curvature. Calc. Var. Partial Differential Equations, 15(2):203–

214, 2002.

[71] J. Brinkschulte, C. D. Hill, and M. Nacinovich. Remarks on weakly pseudo- convex boundaries. Indag. Math. (N.S.), 14(1):1–10, 2003.

[72] Judith Brinkschulte, C. Denson Hill, and Mauro Nacinovich. The Poincar´ e lemma and local embeddability. Boll. Unione Mat. Ital. Sez. B Artic. Ric.

Mat. (8), 6(2):393–398, 2003.

[73] C. Denson Hill and Mauro Nacinovich. Weak pseudoconcavity and the max-

imum modulus principle. Ann. Mat. Pura Appl. (4), 182(1):103–112, 2003.

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[74] Andrea Altomani and Mauro Nacinovich. Abelian extensions of semisimple graded CR algebras. Adv. Geom., 4(4):433–457, 2004.

[75] C. Denson Hill and Mauro Nacinovich. Fields of CR meromorphic functions.

Rend. Sem. Mat. Univ. Padova, 111:179–204, 2004.

[76] C. Denson Hill and Mauro Nacinovich. Elementary pseudoconcavity and fields of CR meromorphic functions. Rend. Sem. Mat. Univ. Padova, 113:99–115, 2005.

[77] C. Denson Hill and Mauro Nacinovich. Stein fillability and the realization of contact manifolds. Proc. Amer. Math. Soc., 133(6):1843–1850 (electronic), 2005.

[78] A. Lotta and M. Nacinovich. On a class of symmetric CR manifolds. Adv.

Math., 191(1):114–146, 2005.

[79] Costantino Medori and Mauro Nacinovich. Algebras of infinitesimal CR au- tomorphisms. J. Algebra, 287(1):234–274, 2005.

[80] Andrea Altomani, Costantino Medori, and Mauro Nacinovich. The CR struc- ture of minimal orbits in complex flag manifolds. J. Lie Theory, 16(3):483–

530, 2006.

[81] C. Denson Hill and Mauro Nacinovich. On the failure of the Poincar´ e lemma for ∂

M

. II. Math. Ann., 335(1):193–219, 2006.

[82] Judith Brinkschulte, C. Denson Hill, and Mauro Nacinovich. “Remarks on weakly pseudoconvex boundaries”: Erratum [Indag. Math. (N.S.) 14 (2003), no. 1, 1–10; mr2015593]. Indag. Math. (N.S.), 18(1):1–2, 2007.

[83] Mauro Nacinovich. On weakly pseudoconcave CR manifolds. In Hyperbolic problems and regularity questions, Trends Math., pages 137–150. Birkh¨ auser, Basel, 2007.

[84] Andrea Altomani, Costantino Medori, and Mauro Nacinovich. On the topol- ogy of minimal orbits in complex flag manifolds. Tohoku Math. J. (2), 60(3):403–422, 2008.

[85] Antonio Lotta and Mauro Nacinovich. CR-admissible Z

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-gradations and CR- symmetries. Ann. Mat. Pura Appl. (4), 187(2):221–236, 2008.

[86] Andrea Altomani, C. Denson Hill, Mauro Nacinovich, and Egmont Porten.

Complex vector fields and hypoelliptic partial differential operators. Ann.

Inst. Fourier (Grenoble), 60(3):987–1034, 2010.

[87] Andrea Altomani, C. Denson Hill, Mauro Nacinovich, and Egmont Porten.

Holomorphic extension from weakly pseudoconcave CR manifolds. Rend.

Semin. Mat. Univ. Padova, 123:69–90, 2010.

[88] Andrea Altomani, Costantino Medori, and Mauro Nacinovich. On homoge- neous and symmetric CR manifolds. Boll. Unione Mat. Ital. (9), 3(2):221–265, 2010.

[89] Andrea Altomani, Costantino Medori, and Mauro Nacinovich. Orbits of real forms in complex flag manifolds. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 9(1):69–109, 2010.

[90] Judith Brinkschulte, C. Denson Hill, and Mauro Nacinovich. Malgrange’s van- ishing theorem for weakly pseudoconcave CR manifolds. Manuscripta Math., 131(3-4):503–506, 2010.

[91] Mauro Nacinovich. The contribution of A. Andreotti to the theory of com- plexes of p.d.o.’s. Boll. Unione Mat. Ital. (9), 4(2):301–306, 2011.

[92] C. Denson Hill and Mauro Nacinovich. Complex vector fields, unique con- tinuation and the maximum modulus principle. Ann. Mat. Pura Appl. (4), 191(4):761–769, 2012.

[93] A. Altomani, C. Medori, and M. Nacinovich. Reductive compact homoge-

neous CR manifolds. Transform. Groups, 18(2):289–328, 2013.

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[94] C. Denson Hill and Mauro Nacinovich. Non completely solvable systems of complex first order PDE’s. Rend. Semin. Mat. Univ. Padova, 129:129–169, 2013.

[95] Mauro Nacinovich and Egmont Porten. C

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-hypoellipticity and extension of CR functions. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 14(3):677–703, 2015.

[96] Judith Brinkschulte, C. Denson Hill, and Mauro Nacinovich. On the nonvan- ishing of abstract Cauchy-Riemann cohomology groups. Math. Ann., 365(3- 4):1701–1715, 2016.

[97] Stefano Marini, Costantino Medori, Mauro Nacinovich, and Andrea F. Spiro.

On transitive contact and CR algebras. arXiv:1706.03512, pages 1–22, 2017.

to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5).

[98] Stefano Marini and Mauro Nacinovich. Orbits of real forms, Matsuki dual- ity and CR-cohomology. In Complex and symplectic geometry, volume 21 of Springer INdAM Ser., pages 149–162. Springer, Cham, 2017.

[99] Mauro Nacinovich and Egmont Porten. Weak q-concavity conditions for CR manifolds. Ann. Mat. Pura Appl. (4), 196(5):1779–1817, 2017.

[100] Stefano Marini, Costantino Medori, and Mauro Nacinovich. Finitness of pro- longations of graded lie algebras. arXiv:1806.09376, pages 1–45, 2018.

[101] Stefano Marini and Mauro Nacinovich. Mostow’s fibration for canonical em- beddings of compact homogeneous CR manifolds. Rend. Semin. Mat. Univ.

Padova, 140:1–43, 2018.

[102] Judith Brinkschulte, C. Denson Hill, J¨ urgen Leiterer, and Mauro Nacinovich.

Aspects of the levi form. Bollettino dell’Unione Matematica Italiana, pages 1–21, Jun 2019.

[103] Stefano Marini, Costantino Medori, and Mauro Nacinovich. On some classes of Z-graded Lie algebras. arXiv, (1910.07896):1–30, 2019.

[104] A. Andreotti and M. Nacinovich. Analytic convexity and the principle of Phragm´ en-Lindel¨ of. Scuola Normale Superiore Pisa, Pisa, 1980. Pubblicazioni della Classe di Scienze: Quaderni. [Publications of the Science Department:

Monographs].