Mauro Nacinovich



Professore Ordinario di Geometria
Nato a Ravenna il 5 Agosto 1949
Maturita` Classica 1967
Allievo della Scuola Normale Superiore di Pisa 1967-1971
Laurea in Matematica dell'Universita` degli Studi di Pisa 1971
Borsista della Scuola Normale Superiore di Pisa 1971-1973
Assistente di Analisi Matematica 1973-1981
Ordinario di Geometria presso l'Universita` di Pisa 1981-2001
Ordinario di Geometria presso l'Universita` di Roma "Tor Vergata" dal 2001




Attivita' di ricerca:
Analisi Complessa, Teoria di Lie, Varieta` di Cauchy-Riemann

Pubblicazioni Scientifiche: 

Lotta, Antonio; Nacinovich, Mauro CR-admissible $Z\sb 2$-gradations and CR-symmetries. Ann. Mat. Pura Appl. (4) 187 (2008), no. 2, 221--236.

Brinkschulte, Judith; Hill, C. Denson; Nacinovich, Mauro "Remarks on weakly pseudoconvex boundaries": Erratum [Indag. Math. (N.S.) 14 (2003), no. 1, 1--10; MR2015593]. Indag. Math. (N.S.) 18 (2007), no. 1, 1--2.

M.Nacinovich, "On weakly pseudoconcave CR manifolds" in Hyperbolic Problems and Regularity questions. Trends in Mathematics. pp.137-150, Birkhauser Verlag, Basel, Switzerland, 2006

C. Denson Hill, and Mauro Nacinovich, "On the failure of the Poincaré lemma for the {$\overline\partial\sb M$} II," Math. Ann.,  vol.335, pp. 193--219, 2006.

A.Altomani, C.Medori and M.Nacinovich, "The CR structure of minimal orbits in complex flag manifolds," J. of Lie Theory, vol. 16, pp. 483-530, 2006.

C. Denson Hill, and Mauro Nacinovich, "Elementary pseudoconcavity and fields of CR meromorphic functions," Rend. Sem. Mat. Univ. Padova, vol. 113, pp. 99--115, 2005.

Costantino Medori, and Mauro Nacinovich, "Algebras of infinitesimal CR automorphisms," J. Algebra, vol. 287, no. 1, pp. 234--274, 2005.

C. Denson Hill, and Mauro Nacinovich, "Stein fillability and the realization of contact manifolds," Proc. Amer. Math. Soc., vol. 133, no. 6, pp. 1843--1850 (electronic), 2005.

A. Lotta, and M. Nacinovich, "On a class of symmetric CR manifolds," Adv. Math., vol. 191, no. 1, pp. 114--146, 2005.

Andrea Altomani, and Mauro Nacinovich, "Abelian extensions of semisimple graded CR algebras," Adv. Geom., vol. 4, no. 4, pp. 433--457, 2004.

C. Denson Hill, and Mauro Nacinovich, "Fields of CR meromorphic functions," Rend. Sem. Mat. Univ. Padova, vol. 111, pp. 179--204, 2004.

J. Brinkschulte, C. D. Hill, and M. Nacinovich, "Remarks on weakly pseudoconvex boundaries," Indag. Math. (N.S.), vol. 14, no. 1, pp. 1--10, 2003.

Judith Brinkschulte, C. Denson Hill, and Mauro Nacinovich, "The Poincaré lemma and local embeddability," Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), vol. 6, no. 2, pp. 393--398, 2003.

C. Denson Hill, and Mauro Nacinovich, "Weak pseudoconcavity and the maximum modulus principle," Ann. Mat. Pura Appl. (4), vol. 182, no. 1, pp. 103--112, 2003.

J. Brinkschulte, C. Denson Hill, and M. Nacinovich, "Obstructions to generic embeddings," Ann. Inst. Fourier (Grenoble), vol. 52, no. 6, pp. 1785--1792, 2002.

Costantino Medori, and Mauro Nacinovich, "The Levi-Malcev theorem for graded CR Lie algebras," in Recent advances in Lie theory (Vigo, 2000), vol. 25, (Lemgo), pp. 341--346, 2002.

C. Denson Hill, and Mauro Nacinovich, "On the failure of the Poincaré lemma for the {$\overline\partial\sb M$} complex," Math. Ann., vol. 324, no. 2, pp. 213--224, 2002.

Mauro Nacinovich, and Rosanna Schianchi, "Semicontinuity of a functional depending on curvature," Calc. Var. Partial Differential Equations, vol. 15, no. 2, pp. 203--214, 2002.

C. Denson Hill, and M. Nacinovich, "Pseudoconvexity at infinity," in Selected topics in Cauchy-Riemann geometry, vol. 9, pp. 139--173, 2001.

C. Denson Hill, and M. Nacinovich, "Two lemmas on double complexes and their applications to CR cohomology," in Selected topics in Cauchy-Riemann geometry, vol. 9, pp. 125--137, 2001.

Costantino Medori, and Mauro Nacinovich, "The Euler characteristic of standard CR manifolds," Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), vol. 4, no. 3, pp. 783--791, 2001.

Chiara Boiti, and Mauro Nacinovich, "The overdetermined Cauchy problem in some classes of ultradifferentiable functions," Ann. Mat. Pura Appl. (4), vol. 180, no. 1, pp. 81--126, 2001.

C. Medori, and M. Nacinovich, "Standard CR manifolds of codimension 2," Transform. Groups, vol. 6, no. 1, pp. 53--78, 2001.

Costantino Medori, and Mauro Nacinovich, "Maximally homogeneous nondegenerate CR manifolds," Adv. Geom., vol. 1, no. 1, pp. 89--95, 2001.

Chiara Boiti, and Mauro Nacinovich, "On the equivalence of Phragmén-Lindelöf principles for holomorphic and plurisubharmonic functions," Matematiche (Catania), vol. 55, no. suppl. 2, pp. 55--70 (2001), 2000.

Chiara Boiti, and Mauro Nacinovich, "The overdetermined Cauchy problem with growth conditions at infinity," Ricerche Mat., vol. 49, no. suppl., pp. 95--134, 2000.

C. Denson Hill, and Mauro Nacinovich, "Conormal suspensions of differential complexes," J. Geom. Anal., vol. 10, no. 3, pp. 481--523, 2000.

C. Denson Hill, and Mauro Nacinovich, "A weak pseudoconcavity condition for abstract almost CR manifolds," Invent. Math., vol. 142, no. 2, pp. 251--283, 2000.

Costantino Medori, and Mauro Nacinovich, "Complete nondegenerate locally standard CR manifolds," Math. Ann., vol. 317, no. 3, pp. 509--526, 2000.

Mauro Nacinovich, Bert-Wolfgang Schulze, and Nikolai Tarkhanov, "On Carleman formulas for the Dolbeault cohomology," Ann. Univ. Ferrara Sez. VII (N.S.), vol. 45, no. suppl., pp. 253--262 (2000), 1999.

C. Denson Hill, and Mauro Nacinovich, "Solvable Lie algebras and the embedding of CR manifolds," Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), vol. 2, no. 1, pp. 121--126, 1999.

C. Denson Hill, and Mauro Nacinovich, "Leray residues and Abel's theorem in CR codimension $k$," Ann. Mat. Pura Appl. (4), vol. 176, pp. 287--322, 1999.

Costantino Medori, and Mauro Nacinovich, "Classification of semisimple Levi-Tanaka algebras," Ann. Mat. Pura Appl. (4), vol. 174, pp. 285--349, 1998.

Laura De Carli, and Mauro Nacinovich, "Unique continuation in abstract pseudoconcave CR manifolds," Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 27, no. 1, pp. 27--46 (1999), 1998.

C. Denson Hill, and Mauro Nacinovich, "Simplicially $q$-pseudoconcave CR manifolds and wedge decomposition," in Geometry Seminars, 1996--1997 (Italian) (Bologna), (Bologna), pp. 111--124, 1998.

Mauro Nacinovich, Alexandre Shlapunov, and Nikolai Tarkhanov, "Duality in the spaces of solutions of elliptic systems," Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 26, no. 2, pp. 207--232, 1998.

C. Medori, and M. Nacinovich, "Levi-Tanaka algebras and homogeneous CR manifolds," Compositio Math., vol. 109, no. 2, pp. 195--250, 1997.

C. Boiti, and M. Nacinovich, "The overdetermined Cauchy problem," Ann. Inst. Fourier (Grenoble), vol. 47, no. 1, pp. 155--199, 1997.

C. Denson Hill, and Mauro Nacinovich, "On the Cauchy problem in complex analysis," Ann. Mat. Pura Appl. (4), vol. 171, pp. 159--179, 1996.

C. Medori, and M. Nacinovich, "Pluriharmonic functions on abstract CR manifolds," Ann. Mat. Pura Appl. (4), vol. 170, pp. 377--394, 1996.

Chiara Boiti, and Mauro Nacinovich, "Extension of formal power series solutions," Rend. Sem. Mat. Univ. Padova, vol. 96, pp. 205--235, 1996.

Mauro Nacinovich, and Alexandre Shlapunov, "On iterations of the Green integrals and their applications to elliptic differential complexes," Math. Nachr., vol. 180, pp. 243--284, 1996.

C. Denson Hill, and Mauro Nacinovich, "Pseudoconcave CR manifolds," in Complex analysis and geometry (Trento, 1993), vol. 173, (New York), pp. 275--297, 1996.

C. Denson Hill, and Mauro Nacinovich, "Aneurysms of pseudoconcave CR manifolds," Math. Z., vol. 220, no. 3, pp. 347--367, 1995.

C. Denson Hill, and M. Nacinovich, "Duality and distribution cohomology of CR manifolds," Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 22, no. 2, pp. 315--339, 1995.

C. Denson Hill, and Mauro Nacinovich, "The Jacobian theorem for mapping of pseudoconcave CR hypersurfaces," Boll. Un. Mat. Ital. A (7), vol. 9, no. 1, pp. 149--155, 1995.

Chiara Boiti, Mauro Nacinovich, and Nikolai Tarkhanov, "Hartogs-Rosenthal theorem for overdetermined systems," Atti Sem. Mat. Fis. Univ. Modena, vol. 42, no. 2, pp. 379--398, 1994.

C. Denson Hill, and Mauro Nacinovich, "A collar neighborhood theorem for a complex manifold," Rend. Sem. Mat. Univ. Padova, vol. 91, pp. 24--30, 1994.

C. Denson Hill, and Mauro Nacinovich, "Embeddable CR manifolds with nonembeddable smooth boundary," Boll. Un. Mat. Ital. A (7), vol. 7, no. 3, pp. 387--395, 1993.

C. D. Hill, and M. Nacinovich, "The topology of Stein CR manifolds and the Lefschetz theorem," Ann. Inst. Fourier (Grenoble), vol. 43, no. 2, pp. 459--468, 1993.

Mauro Nacinovich, "Approximation and extension of Whitney CR forms," in Complex analysis and geometry, (New York), pp. 271--283, 1993.

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

Mauro Nacinovich, "On a theorem of Airapetyan and Henkin," in Geometry Seminars, 1988--1991 (Italian) (Bologna, 1988--1991), (Bologna), pp. 99--135, 1991.

Mauro Nacinovich, "Cauchy problem for overdetermined systems," Ann. Mat. Pura Appl. (4), vol. 156, pp. 265--321, 1990.

Mauro Nacinovich, "Overdetermined hyperbolic systems on l.e. convex sets," Rend. Sem. Mat. Univ. Padova, vol. 83, pp. 107--132, 1990.

M. Nacinovich, "Tangential Cauchy-Riemann systems," in Recent developments in hyperbolic equations (Pisa, 1987), vol. 183, (Harlow), pp. 225--239, 1988.

Mauro Nacinovich, "On strict Levi $q$-convexity and $q$-concavity on domains with piecewise smooth boundaries," Math. Ann., vol. 281, no. 3, pp. 459--482, 1988.

Mauro Nacinovich, and Giorgio Valli, "Tangential Cauchy-Riemann complexes on distributions," Ann. Mat. Pura Appl. (4), vol. 146, pp. 123--160, 1987.

Mauro Nacinovich, "On boundary Hilbert differential complexes," Ann. Polon. Math., vol. 46, pp. 213--235, 1985.

M. Nacinovich, "Poincaré lemma for tangential Cauchy-Riemann complexes," Math. Ann., vol. 268, no. 4, pp. 449--471, 1984.

Mauro Nacinovich, "On global solvability for some systems of partial differential equations," Rend. Sem. Mat. Univ. Politec. Torino, no. Special Issue, pp. 181--191 (1984), 1983.

Mauro Nacinovich, "On weighted estimates for some systems of partial differential operators," Rend. Sem. Mat. Univ. Padova, vol. 69, pp. 221--232, 1983.

Mauro Nacinovich, "On the solvability of systems of differential equations," Boll. Un. Mat. Ital. C (6), vol. 1, no. 1, pp. 107--135, 1982.

Mauro Nacinovich, "Complex analysis and complexes of differential operators," in Complex analysis (Trieste, 1980), vol. 950, (Berlin), pp. 105--195, 1982.

Mauro Nacinovich, "A remark on differential equations with polynomial coefficients," Boll. Un. Mat. Ital. B (6), vol. 1, no. 3, pp. 979--989, 1982.

Mauro Nacinovich, "On the absence of Poincaré lemma for some systems of partial differential equations," Compositio Math., vol. 44, no. 1-3, pp. 241--303, 1981.

Aldo Andreotti, and Mauro Nacinovich, "The ``Poincaré lemma'' for complexes of differential operators," in Proceedings of the mathematical congress in celebration of the one hundredth birthday of Guido Fubini and Francesco Severi (Turin, 1979), pp. 177--186 (1982), published as Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur., vol. 115, no. suppl.1981.

Aldo Andreotti, and Mauro Nacinovich, "On the theory of analytic convexity," in Symposia Mathematica, Vol. XXIV (Sympos., INDAM, Rome, 1979), (London), pp. 145--152, 1981.

Aldo Andreotti, Gregory Fredricks, and Mauro Nacinovich, "On the absence of Poincaré lemma in tangential Cauchy-Riemann complexes," Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 8, no. 3, pp. 365--404, 1981.

Aldo Andreotti, and Mauro Nacinovich, "On analytic and {$C\sp{\infty }$} Poincaré lemma," in Mathematical analysis and applications, Part A, vol. 7, (New York), pp. 41--93, 1981.

Aldo Andreotti, Gregory Fredricks, and Mauro Nacinovich, "Differential equations without solutions," Rend. Sem. Mat. Fis. Milano, vol. 50, pp. 11--22 (1982), 1980.

A. Andreotti, and M. Nacinovich, Analytic convexity and the principle of Phragmén-Lindelöf, Scuola Normale Superiore Pisa, Pisa, 1980, 182 pages.

Aldo Andreotti, and Mauro Nacinovich, "Noncharacteristic hypersurfaces for complexes of differential operators," Ann. Mat. Pura Appl. (4), vol. 125, pp. 13--83, 1980.

Aldo Andreotti, and Mauro Nacinovich, "Analytic convexity," Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 7, no. 2, pp. 287--372, 1980.

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), vol. 6, no. 1, pp. 69--141, 1979.

Aldo Andreotti, and Mauro Nacinovich, "Convexité analytique. II. Résultats positifs," in Fonctions de plusieurs variables complexes, III (Sém. Fran\c cois Norguet, 1975--1977), vol. 670, (Berlin), pp. 388--393, 1978.

Aldo Andreotti, and Mauro Nacinovich, "Convexité analytique," in Fonctions de plusieurs variables complexes, III (Sém. Fran\c cois Norguet, 1975--1977), vol. 670, (Berlin), pp. 341--351, 1978.

A. Andreotti, and M. Nacinovich, "Some remarks on formal Poincaré lemma," in Complex analysis and algebraic geometry, (Tokyo), pp. 295--305, 1977.

A. Andreotti, and M. Nacinovich, "Analytic convexity. Some comments on an example of de Giorgi and Piccinini," in Complex analysis and its applications (Lectures, Internat. Sem., Trieste, 1975), Vol. II, (Vienna), pp. 25--37, 1976.

A. Andreotti, and M. Nacinovich, "Complexes of partial differential operators," Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 3, no. 4, pp. 553--621, 1976.

Mauro Nacinovich, "Una osservazione su una congettura di De Giorgi," Boll. Un. Mat. Ital. (4), vol. 12, no. 1-2, pp. 9--14, 1975.

Mauro Nacinovich, "Monotone operators of finite degree," Boll. Un. Mat. Ital. (4), vol. 6, pp. 134--139, 1972.


Pubblicazioni Didattiche:

M.Nacinovich:  Geometria 1,2,3      Sansoni,   Firenze,    1986
M.Nacinovich:  Elementi di Geometria Analitica    Liguori,   Napoli,    1996

Preprints

Orbits of real forms ...


Corso di Geometria per Scienza dei materiali e Fisica dell'atmosfera, a.a. 2009-2010

Programma del corso

Corso di Geometria 3

Appunti di Topologia

Appunti su algebre e gruppi di Lie

Algebre e Gruppi di Lie (Capitoli I - XV)
Capitolo XVI - Forme Reali
Capitolo XVII - Spazi Simmetrici

Appunti di Geometria differenziale

Geometria Differenziale 2006/07 (I semestre)

Appunti di Geometria 4

Geometria 4
Programma di Geometria 4 (2008)
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