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Volumn 122, Issue 3, 2000, Pages 515-546

Hyperbolicity of generic surfaces of high degree in projective 3-space

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EID: 0034196217     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2000.0019     Document Type: Article
Times cited : (58)

References (43)
  • 2
    • 0000924350 scopus 로고
    • Families of curves on a surface of general type
    • F.A. Bogotnolov, Families of curves on a surface of general type, Soviet. Math. Dokl. 18 (1977), 1294-1297.
    • (1977) Soviet. Math. Dokl. , vol.18 , pp. 1294-1297
    • Bogotnolov, F.A.1
  • 3
    • 84956260240 scopus 로고
    • Holomorphic tensors and vector bundles on projective varieties
    • _, Holomorphic tensors and vector bundles on projective varieties. Math. USSR-Izv. 13 (1979) 499-555.
    • (1979) Math. USSR-Izv. , vol.13 , pp. 499-555
  • 4
    • 84968519029 scopus 로고
    • Compact manifolds and hyperbolicity
    • R. Brody, Compact manifolds and hyperbolicity, Trans. Amer. Math. Soc. 235 (1978) 213-219.
    • (1978) Trans. Amer. Math. Soc. , vol.235 , pp. 213-219
    • Brody, R.1
  • 5
    • 0001139577 scopus 로고    scopus 로고
    • Courbes entières et feuilletages holomorphes
    • M. Brunella, Courbes entières et feuilletages holomorphes, Enseign. Math. 45 (1999), 195-216.
    • (1999) Enseign. Math. , vol.45 , pp. 195-216
    • Brunella, M.1
  • 6
    • 0000961464 scopus 로고
    • Curves on generic hypersurface
    • H. Clemens, Curves on generic hypersurface, Ann. Sci. École Norm. Sup. 19 (1986), 629-636.
    • (1986) Ann. Sci. École Norm. Sup. , vol.19 , pp. 629-636
    • Clemens, H.1
  • 8
    • 0002035689 scopus 로고    scopus 로고
    • Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials
    • Amer. Math. Soc., Providence, RI
    • J.-P. Demailly. Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., Providence, RI, 1997, pp. 285-360.
    • (1997) Proc. Sympos. Pure Math. , vol.62 , pp. 285-360
    • Demailly, J.-P.1
  • 9
    • 18344397452 scopus 로고    scopus 로고
    • Connexions méromorphes projectives et variétés algébriques hyperboliques
    • to appear
    • J.-P. Demailly and J. El Goul, Connexions méromorphes projectives et variétés algébriques hyperboliques, C. R. Acad. Sci. Paris Ser. I Math., 1997 (to appear).
    • (1997) C. R. Acad. Sci. Paris Ser. I Math.
    • Demailly, J.-P.1    El Goul, J.2
  • 10
    • 0001460139 scopus 로고
    • Hyperbolicity of the complement of plane algebraic curves
    • G. Dethloff, G. Schumacher, and P.M. Wong, Hyperbolicity of the complement of plane algebraic curves, Amer. J. Math. 117 (1995), 573-599.
    • (1995) Amer. J. Math. , vol.117 , pp. 573-599
    • Dethloff, G.1    Schumacher, G.2    Wong, P.M.3
  • 11
    • 84974002028 scopus 로고
    • On the hyperbolicity of the complements of curves in algebraic surfaces: The three component case
    • _, On the hyperbolicity of the complements of curves in Algebraic surfaces: the three component case. Duke Math. J. 78 (1995), 193-212.
    • (1995) Duke Math. J. , vol.78 , pp. 193-212
  • 12
    • 0002336834 scopus 로고    scopus 로고
    • Examples of plane curves of low degrees with hyperbolic and C-hyperbolic complements
    • (J. Noguchi, H. Fujimoto, J. Kajiwara, T. Ohsawa, eds.), World Scientific, Singapore
    • G. Dethloff and M. Zaidenberg, Examples of plane curves of low degrees with hyperbolic and C-hyperbolic complements, Geometric Complex Analysis (Hayama, 1995) (J. Noguchi, H. Fujimoto, J. Kajiwara, T. Ohsawa, eds.), World Scientific, Singapore, 1996, pp. 147-161.
    • (1996) Geometric Complex Analysis (Hayama, 1995) , pp. 147-161
    • Dethloff, G.1    Zaidenberg, M.2
  • 13
    • 0002223771 scopus 로고
    • Prépublication de l'Institut Fourier
    • _, Plane curves with C-hyperbolic complements, Prépublication de l'Institut Fourier, 1995; Duke Math, e-print alg-geom/9501007; Ann. Scuola Norm. Sup. Pisa Cl. Sci. (to appear).
    • (1995) Plane Curves with C-hyperbolic Complements
  • 14
    • 0002323941 scopus 로고    scopus 로고
    • e-print alg-geom/9501007
    • _, Plane curves with C-hyperbolic complements, Prépublication de l'Institut Fourier, 1995; Duke Math, e-print alg-geom/9501007; Ann. Scuola Norm. Sup. Pisa Cl. Sci. (to appear).
    • Duke Math
  • 15
    • 84904280686 scopus 로고    scopus 로고
    • to appear
    • _, Plane curves with C-hyperbolic complements, Prépublication de l'Institut Fourier, 1995; Duke Math, e-print alg-geom/9501007; Ann. Scuola Norm. Sup. Pisa Cl. Sci. (to appear).
    • Ann. Scuola Norm. Sup. Pisa Cl. Sci.
  • 16
    • 0000708335 scopus 로고
    • Subvarieties of generic complete intersections
    • L. Ein, Subvarieties of generic complete intersections, Invent. Math. 94 (1988), 163-169.
    • (1988) Invent. Math. , vol.94 , pp. 163-169
    • Ein, L.1
  • 18
    • 0002317817 scopus 로고
    • Ph.D. thesis, Mathematik und Informatik der Universität Gesamthochschule Essen, February
    • J. Esser, Noether-Lefschetz-Theoreme fur zyklische belagerungen, Ph.D. thesis, Mathematik und Informatik der Universität Gesamthochschule Essen, February, 1993
    • (1993) Noether-Lefschetz-Theoreme fur Zyklische Belagerungen
    • Esser, J.1
  • 19
    • 84966249184 scopus 로고
    • c and related results
    • C and related results, Proc. Amer. Math. Soc. 66 (1977), 109-113.
    • (1977) Proc. Amer. Math. Soc. , vol.66 , pp. 109-113
    • Green, M.1
  • 21
    • 0000373513 scopus 로고
    • Equivalence relations on algebraic cycles and subvarieties of small codimensions
    • Amer. Math. Soc., Providence. RI
    • R. Hartshorne, Equivalence relations on algebraic cycles and subvarieties of small codimensions, Proc. Sympos. Pure Math., vol. 29, Amer. Math. Soc., Providence. RI, 1975, pp. 129-164.
    • (1975) Proc. Sympos. Pure Math. , vol.29 , pp. 129-164
    • Hartshorne, R.1
  • 23
    • 0002677505 scopus 로고
    • Hypersurfaces solutions d'une équation de Pfaff analytique
    • J.-P. Jouanolou, Hypersurfaces solutions d'une équation de Pfaff analytique, Math. Ann. 332 (1978), 239-248.
    • (1978) Math. Ann. , vol.332 , pp. 239-248
    • Jouanolou, J.-P.1
  • 25
    • 84968488143 scopus 로고
    • Hyperbolic and diophantine analysis
    • S. Lang, Hyperbolic and diophantine analysis, Bull. Amer. Math. Soc. 14 (1986), 159-205.
    • (1986) Bull. Amer. Math. Soc. , vol.14 , pp. 159-205
    • Lang, S.1
  • 27
    • 0025176805 scopus 로고
    • Holomorphic curves in surfaces of general type
    • S.S.-Y. Lu and S.T. Yau, Holomorphic curves in surfaces of general type, Proc. Nat. Acad. Sci. USA 87 (1990), 80-82.
    • (1990) Proc. Nat. Acad. Sci. USA , vol.87 , pp. 80-82
    • Lu, S.S.-Y.1    Yau, S.T.2
  • 28
    • 4243241041 scopus 로고
    • Courbes de genre géométrique borné sur une surface de type général (d'après F. Bogomolov)
    • M. Martin-Deschamps, Courbes de genre géométrique borné sur une surface de type général (d'après F. Bogomolov), Séminaire Bourbaki 519 (1978), 1-15.
    • (1978) Séminaire Bourbaki , vol.519 , pp. 1-15
    • Martin-Deschamps, M.1
  • 30
    • 0012350867 scopus 로고
    • Algebraic surfaces with positive indices
    • Birkhäuser, Boston, MA
    • Y. Miyaoka, Algebraic surfaces with positive indices, Progr. Math., vol. 39, Birkhäuser, Boston, MA, 1983, pp. 281-301.
    • (1983) Progr. Math. , vol.39 , pp. 281-301
    • Miyaoka, Y.1
  • 31
    • 0002222273 scopus 로고    scopus 로고
    • personal communication, January
    • M. Paun, personal communication, January, 1999.
    • (1999)
    • Paun, M.1
  • 32
    • 0003282247 scopus 로고
    • Symmetric powers of the cotangent bundle and classification of algebraic varieties
    • Springer-Verlag, New York
    • F. Sakai, Symmetric powers of the cotangent bundle and classification of algebraic varieties, Lecture Notes in Math., vol. 732, Springer-Verlag, New York, 1979, pp. 545-563.
    • (1979) Lecture Notes in Math. , vol.732 , pp. 545-563
    • Sakai, F.1
  • 33
    • 0002143796 scopus 로고
    • Almost-positive vector bundles on projective surfaces
    • M. Schneider and A. Tancredi, Almost-positive vector bundles on projective surfaces, Math. Ann. 280 (1988), 537-547.
    • (1988) Math. Ann. , vol.280 , pp. 537-547
    • Schneider, M.1    Tancredi, A.2
  • 34
    • 0000596681 scopus 로고
    • Reduction of singularities of the differential equation AdY = BdX
    • A. Seidenberg, Reduction of singularities of the differential equation AdY = BdX, Amer. J. Math. 90 (1968), 248-269.
    • (1968) Amer. J. Math. , vol.90 , pp. 248-269
    • Seidenberg, A.1
  • 35
    • 84972546423 scopus 로고
    • Defect relations for holomorphic maps between spaces of different dimensions
    • Y.-T. Siu, Defect relations for holomorphic maps between spaces of different dimensions, Duke Math. J. 55 (1987), 213-251.
    • (1987) Duke Math. J. , vol.55 , pp. 213-251
    • Siu, Y.-T.1
  • 36
    • 85045502629 scopus 로고    scopus 로고
    • Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane
    • to appear
    • Y.-T. Siu and S.K. Yeung, Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane, Invent. Math. (to appear).
    • Invent. Math.
    • Siu, Y.-T.1    Yeung, S.K.2
  • 38
    • 0000681068 scopus 로고    scopus 로고
    • On a conjecture of Clemens on rational curves on hypersurfaces
    • C. Voisin, On a conjecture of Clemens on rational curves on hypersurfaces, J. Differential Geom. 44 (1996), 200-213.
    • (1996) J. Differential Geom. , vol.44 , pp. 200-213
    • Voisin, C.1
  • 39
    • 84972520437 scopus 로고
    • Subvarieties of general hypersurfaces in projective space
    • G. Xu, Subvarieties of general hypersurfaces in projective space, J. Differential Geom. 39 (1994), 139-172.
    • (1994) J. Differential Geom. , vol.39 , pp. 139-172
    • Xu, G.1
  • 40
    • 84980156699 scopus 로고
    • On the Ricci curvature of a compact Kähler manifold and the complex Monge Ampère equation
    • S.T. Yau, On the Ricci curvature of a compact Kähler manifold and the complex Monge Ampère equation, Comm. Pure Appl. Math. 31 (1978), 339-441.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 339-441
    • Yau, S.T.1
  • 42
    • 0000467157 scopus 로고
    • Stability of hyperbolic embeddedness and construction of examples
    • _, Stability of hyperbolic embeddedness and construction of examples, Math. USSR-Sb. 63 (1989), 351-361.
    • (1989) Math. USSR-Sb. , vol.63 , pp. 351-361


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