logo de l'IF

Liste des publications


accueil


2011

  • (avec H. Flenner, S. Kaliman) Smooth Affine Surfaces whith non-Unique C*-Actions. Journal of Algebraic Geometry 20 (2011), 329-398.
  • (avec T. Kishimoto, Y. Prokhorov) Group actions on affine cones. Centre de Recherches Mathématiques.CRM Proceedings and Lecture Notes 54, 2011, 123-163.
  • (avec H. Flenner, S. Kaliman) Corrigendum to our paper : Birational transformations of weigted graphs. ibid., 35-38.
  • Discrete convolution operators in positive characteristic:a variation on the Floquet-Bloch Theory. Contemporary Mathematics Series of the Amer. Math. Soc. 554, 2011, 265-284.
  • 2010

  • (avec H. Flenner, S. Kaliman) Embeddings of C*-surfaces into weighted projective spaces. Manuscr. Mathem. 131 (2010), no. 1-2, 265--274.
  • 2009

  • Hyperbolicity of general deformations. Funct. Anal. Appl. 43:2 (2009), 113-118.
  • Periodic harmonic functions on lattices and points count in positive characteristic. Cent. Eur. J. Math. 7(3) (2009), 365-381.
  • (avec H. Flenner, S. Kaliman) On the Danilov-Gizatullin Isomorphism Theorem. Enseignement Mathématiques (2) 55 (2009), no. 3-4, 275--283.
  • 2008

  • Periodic binary harmonic functions on lattices. Advances in Applied Mathematics 40 (2008), 225-265.
  • (avec H. Flenner, S. Kaliman) Uniqueness of C*- and C+-actions on Gizatullin surfaces. Transformation groups 13:2 (2008), 305-354.
  • Convolution equations on lattices: periodic solutions with values in a prime characteristic field. Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov. Progress in Mathematics, Vol. 265. Kapranov, M.; Kolyada, S.; Manin, Y.I.; Moree, P.; Potyagailo, L.A. (Eds.). 719-740, BirkhÄauser, 2008.
  • 2007

  • (avec H. Flenner, S. Kaliman) Birational transformations of weighted graphs. Affine algebraic geometry. Osaka Univ. Press, 2007, 107-147.
  • (avec H. Flenner, S. Kaliman) Completions of C*-surfaces. Affine algebraic geometry. Osaka Univ. Press, 2007, 149-201.
  • 2006

  • Affine lines on Q-homology planes and group actions. Transformation Groups 11 (2006), 725-735.
  • (avec H. Flenner) On a result of Miyanishi-Masuda. Arch. Math. 87 (2006), 15-18.
  • 2005

  • (avec H. Flenner) Locally nilpotent derivations on affine surfaces with a C*-action, Osaka J. Math. 42 (2005), 931-974.
  • (avec H. Flenner) On the uniqueness of C*-actions on affine surfaces. Affine Algebraic Geometry, 97-111. Contemporary Mathematics 369, Amer. Math. Soc. Providence, R.I., 2005.
  • Selected problems. ibid., 24-29.
  • (avec B. Shiffman) New examples of hyperbolic surfaces in P3. Funct. Anal. Appl. 39 (2005), 76-79.
  • 2004

  • (avec S. Kaliman et S. Vénéreau) Simple birational extensions of the polynomial ring C[3]. Trans. Amer. Math. Soc. 356 (2004), 509-555.
  • (avec S. Kaliman) Vénéreau polynomials and related fiber bundles. J. Pure Appl. Algebra 192 (2004), 275-286.
  • 2003

  • (avec H. Flenner) Log-canonical forms and log canonical singularities. Math. Nachr. 254/255 (2003), 107-125.
  • (avec H. Flenner) Rational curves and rational singularities. Math. Zeitschrift 244 (2003), 549-575.
  • (avec H. Flenner) Normal affine surfaces with C*-actions. Osaka J. Math. 40 (2003), 981-1009.
  • (avec C. Ciliberto) 3-fold symmetric products of curves as hyperbolic hy- persurfaces in P4. Intern. J. Math. 14 (2003), 413-436.
  • 2002

  • (avec B. Shiffman) Hyperbolic hypersurfaces in Pn of Fermat-Waring type. Proc. Amer. Math. Soc. 130 (2002), 2031-2035.
  • (avec B. Shiffman) Constructing low degree hyperbolic surfaces in P3. Houston J. Math. (the special issue for S.S. Chern) 28 (2002), 377-388.
  • 2001

  • (avec S. Kaliman et S. Vénéreau) Extensions birationelles simples de l'anneau de polynômes C
  • 3]. C.R. Acad. Sci. Paris 333 (2001), 319-322.
  • (avec K. Oguiso) On fundamental groups of elliptically connected surfaces. Complex analysis in modern mathematics, 231-237, FAZIS, Moscow, 2001.
  • (avec S. Kaliman) Non-hyperbolic complex spaces with hyperbolic normalization. Proc. Amer. Math. Soc. 129 (2001), 1391-1393.
  • (avec S. Kaliman) Families of affine planes: the existence of a cylinder. Michigan Math. J. 49 (2001), 353-367.
  • 2000

  • (avec H. Flenner) Rational cuspidal plane curves of type (d; d¡3): Math. Nachr. 210 (2000), 93-110.
  • (avec B. Shiffman) Two classes of hyperbolic surfaces in P3. International J. Math. 11 (2000), 65-101.
  • (avec S. Kaliman) Miyanishi's characterization of the affine 3-space does not hold in higher dimensions. Ann. Institut Fourier 50 (2000), 1649-1669.
  • 1999

  • On exotic algebraic structures on affine spaces. Algebra and Analysis 11 (1999), 3-73 (Russian). Transl. in: St. Petersburg Math. J. 11 (2000), 703- 760.
  • (avec S. Kaliman) Affine modifications and affine varieties with a very transitive automorphism group. Transform. Groups 4 (1999), 53-95.
  • 1998

  • (avec G. Dethloff, S. Orevkov) Plane curves with a big fundamental group of the complement. Voronezh Winter Mathematical Schools, Amer. Math. Soc. Transl. (2) 184 (1998), 63-84.
  • (avec V. Lin) Liouville and Carathéodory coverings in Riemannian and complex geometry. Voronezh Winter Mathematical Schools, Amer. Math. Soc. Transl. (2) 184 (1998), 111-130.
  • 1997

  • A representation of isometries on function spaces. Math. Physics, Analysis, Geometry 4 (1997), 339-347.
  • (avec A. Skorik) On isometric re°exions in Banach spaces. Math. Physics, Analysis, Geometry 4 (1997), 212-247.
  • 1996

  • On exotic algebraic structures on affine spaces. Geometric Complex Anal- ysis, J. Noguchi e.a. eds. World Sci. Publ. Co., 691-714, Singapore 1996.
  • (avec G. Dethloff) Plane curves with C-hyperbolic complements. Ann. Scuola Norm. Super. Pisa 23 (1996), 749-778.
  • (avec G. Dethloff) Examples of plane curves of low degrees with hyperbolic and C-hyperbolic complements. Geometric Complex Analysis, J. Noguchi e.a. eds. World Sci. Publ. Co., 176-193, Singapore
  • 1996

  • (avec S. Kaliman) An analytic transversality theorem and stability of Eisenman-Kobayashi pseudomeasures. Trans. Amer. Math. Soc. 348 (1996), 661-672.
  • (avec S. Orevkov) On rigid rational cuspidal plane curves. Russ. Math. Surv. 51 (1996), 179-180.
  • (avec I. Ostrovskii, F. Pakovitch) A remark on complex polynomials of least deviation. Internat. Math. Res. Notices 14 (1996), 699-703.
  • (avec H. Flenner) On a class of rational cuspidal plane curves. Manuscr. Mathem. 89 (1996), 439-460.
  • 1995

  • (avec Y. Abramovich) A rearrangement invariant space isometric to Lp co- incides with Lp. Interaction between Functional Analysis, Harmonic Analy- sis, and Probability, N. Kalton, E. Saab eds., Lect. Notes Pure Appl. Math. 175, Marcel Dekker, New York, 1995, 13-18.
  • 1994

  • (avec H. Flenner) Q-acyclic surfaces and their deformations. "Classification of Algebraic Varieties", Contempor. Mathem. 162, Providence, RI, 1994, 143-208.
  • On Ramanujam surfaces, C**-families and exotic algebraic structures on Cn; n ¸ 3. Trans. Moscow Math. Soc. 55 (1994), 1-56.
  • 1993

  • An analytic cancellation theorem and exotic algebraic structures on Cn, n>3. Astérisque 217 (1993), 251-282.
  • 1992

  • Families of curves and hyperbolicity. J. Soviet Math. 58-6 (1992), 510-520.
  • Schottky-Landau growth estimates for s-normal families of holomorphic mappings. Math. Ann. 293 (1992), 123-141.
  • 1991

  • Ramanujam surfaces and exotic algebraic structures on Cn, n ¸ 3. Soviet Math. Dokl. 42 (1991), 636-640.
  • 1990

  • A function-field analog of the Mordell conjecture: A noncompact version. Math. USSR Izvestiya 35 (1990), 61-81.
  • Hyperbolicity criteria and families of curves. J. Soviet Math. 52-5 (1990), 3377-3387.
  • Holomorphic rigidity of polynomial polyhedrons and quasihomogeneity. Global Analysis - Studies and Applications IY. Lect. Notes Math. 1453. Berlin Heidelberg New York: Springer 1990, 291-307.
  • 1989

  • Stability of hyperbolic embeddedness and construction of examples. Math. USSR Sbornik 63 (1989), 351-361.
  • (avec V. Lin) Finiteness theorems for holomorphic mappings. Encyclopedia of Math. Sci. Vol.9. Several Complex Variables III. Berlin Heidelberg New York e.a.: Springer 1989, 113-172.
  • 1988

  • Isotrivial families of curves on affine surfaces and characterization of the affine plane. Math. USSR Izvestiya 30 (1988), 503-532. Additions and cor- rections, ibid., 38-2 (1992), 435-437.
  • Transcendental solutions of Diophantine equations. Funct. Anal. Appl. 22 (1988), 322-324.
  • 1987

  • The complement of a generic hypersurface of degree 2n in CPn is not hyperbolic. Siberian Math. J. 28 (1987), 425-432.
  • 1986

  • Structures of finite degenerations of families of curves on affine surfaces, and a characterization of the affine plane. Soviet Math. Dokl. 33 (1986), 372-376.
  • On hyperbolic embedding of complements of divisors and the limiting be- havior of the Kobayashi-Royden metric. Math. USSR Sbornik 55 (1986), 55-70.
  • Criteria for hyperbolic embedding of complements to hypersurfaces. Rus- sian Math. Surveys 41 (1986), 249-250.
  • 1985

  • Rational actions of the group C* on C2, their quasi-invariants, and al- gebraic curves in C2 with Euler characteristic 1. Soviet Math. Dokl. 31 (1985), 57-60.
  • Deformation and degeneration of the complex hyperbolic pseudometrics and pseudovolumes. Funct. Anal. Appl. 19 (1985), 215-216.
  • 1984

  • (avec V. Lin) On the number of singular points of a plane affine algebraic curve. Linear and Complex Analysis Problem Book. Eds. V.P. Havin e.a. Lect. Notes Math. 1043. Berlin Heidelberg New York: Springer Verlag 1984, 662-663.
  • 1983

  • Picard's theorem and hyperbolicity. Siberian Math. J. 24 (1983), 858-867.
  • (avec V. Lin) An irreducible simply connected algebraic curve in C2 is equivalent to a quasihomogeneous curve. Soviet Math. Dokl. 28 (1983), 200-204.
  • 1980

  • On the theorems of Brody and Green on conditions for complete hyperbol- icity of complex manifolds. Funct. Anal. Appl. 14 (1981), 311-313.
  • 1979

  • (avec V. Lin) On bounded domains of holomorphy that are not holomor- phically contractible. Soviet Math. Dokl. 20 (1979), 1262-1266.
  • 1977

  • On the isometric classification of symmetric spaces. Soviet Math. Dokl. 18 (1977), 636-640.
  • 1976

  • Isometry groups of Orlicz spaces. Soviet Math. Dokl. 17 (1976), 432-436.
  • (avec A.I. Skorik) Groups of isometries that contain re°ections. Funct. Anal. Appl. 10 (1976), 322-323 (1977).
  • 1975

  • (avec S.G. Krein, P.A. Kuchment, A.A. Pankov) Banach bundles and lin- ear operators. Russian Mathem. Surveys 30 (1975), 115-175.
  • The global root vector functions of a holomorphic operator-valued function. Mat. Issled. 10 (1975), 265-269.
  • 1974

  • Reduction to canonical form of matrices that depend on parameters. Funct. Anal. Appl. 8 (1974), 162-163.
  • 1973

  • The operator of multiplication by a holomorphic operator function. Mat. Issled. 8 (1973), 59-70.
  • (avec T. S. Sabirov) Certain global properties of matrix-valued functions. Dokl. Akad. Nauk Tad·zik. SSR 16 (1973), 8-11.
  • 1972

  • On Fredholm operators that depend holomorphically on parameters. Mat. Issled. 6 (1972), 142-149.
  • (avec A. A. Pankov) Certain global properties of holomorphic Fredholm operator valued functions. Mat. Issled. 7 (1972), 241-247.
  • 1971

  • (avec D. Vodovoz) The number of generators in an algebra of continuous functions. Math. Notes Acad. Sci. USSR 10 (1971), 746-748 (1972).
  • Fredholm operators that depend holomorphically on parameters. Mat. Issled. 6 (1971), 142-149.