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Original Articles

A generalization of curve genus for ample vector bundles. I

Pages 4327-4335 | Received 01 Jun 1998, Published online: 27 Jun 2007

References

  • Ballico , E. 1991 . On vector bundles on 3-folds with sectional genus 1 . Trans. Amer. Math. Soc , : 135 – 147 .
  • Beltrametti , M.C. and Sommese , A.J. 1995 . “ The Adjunction Theory of Complex Projective Varieties ” . In Expositions in Math , Vol. 16 , de Gruyter .
  • Bloch , S. and Gieseker , D. 1971 . The positivity of the Chern classes of an ample vector bundle . Invent. Math , 12 : 112 – 117 .
  • Fujita , T. 1980 . On the structure of polarized manifolds with total deficiency one, I . J. Math. Soc. Japan , 32 : 709 – 725 . II, J. Math. Soc. Japan 33 (1981), 415-434;JJ7, J. Math. Soc. Japan36 (1984), 75-89
  • Fujita , T. 1987 . On Polarized manifolds Whose Adjoint Bundles are not Semipositive . Algebraic Geometry , 10 : 167 – 178 . Sendai 1985, Adv. Stud, in Pure Math
  • Fujita , T. 1989 . Ample vector bundles of small c1-sectional genera . J. Math. Kyoto Univ , 10 : 1 – 16 .
  • Fulton , W. and Lazarsfeld , R. 1983 . Positive polynomials for ample vector bundles . Ann. of Math , 118 : 35 – 60 .
  • Hartshorne , R. 1977 . “ Algebraic Geometry ” . In Grad. Texts in Math , Vol. 52 , Springer .
  • Ionescu , P. 1986 . Generalized adjunction and applications . Math. Proc. Cambridge Philos. Soc , 99 : 457 – 472 .
  • Kobayashi , S. and Ochiai , T. 1973 . Characterizations of complex projective spaces and hyperquadrics . J. Math. Kyoto Univ , 13 : 31 – 47 .
  • Lanteri , A. and Maeda , H. 1995 . Ample vector bundles with sections vanishing on projective spaces or quadrics . Internat. J. Math , 6 : 587 – 600 .
  • Lanteri A. Maeda H. Ample vector bundles of curve genus one preprint
  • Lanteri , A. , Maeda , H. and Sommese , A. 1996 . J.Ample and spanned vector bundles of minimal curve genus . Arch. Math , 66 : 141 – 149 . (Basel)
  • Lazarsfeld , R. “ Some applications of the theory of positive vector bundles ” . In Complete Intersections , Vol. 1984 , 29 – 61 . Springer . Acireale 1983, Lecture Notes in Math
  • Maeda , H. 1998 . Ample vector bundles of small curve genera . Arch. Math , 70 : 239 – 243 . (Basel)
  • Okonek , C. , Schneider , M. and Spindler , H. 1980 . Vector Bundles on Complex Projective Spaces . Progress in Math , 3
  • Ottaviani , G. 1988 . Spinor bundles on quadrics . Trans. Amer. Math. Soc , 307 : 301 – 316 .
  • Sommese , A.J. On the adjunction theoretic structure of projective varieties . Proceedings of the Complex Analysis and Algebraic Geometry Conference . 1985 . Vol. 1194 , pp. 175 – 213 . Gottingen : Springer . Lecture Notes in Math
  • Wiśniewski , J.A. 1989 . Length of extremal rays and generalized adjunction . Math. Z , 200 : 409 – 427 .
  • Zhang , Q. 1991 . A theorem on the adjoint system for vector bundles . Manuscripta Math , 70 : 189 – 201 .

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