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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A lower bound for sectional genera of ample and spanned vector bundles on algebraic surfaces
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by Antonio Lanteri and Francesco Russo PDF
Proc. Amer. Math. Soc. 119 (1993), 1053-1059 Request permission

Abstract:

Let $E$ be an ample and spanned vector bundle of rank $r$ over a complex projective surface $S$. It is shown that the sectional genus $g(S,\det E)$ is bounded from below by the number $b = \max \{ q(S),2 - r\chi ({\mathcal {O}_S})\}$ and pairs $(S,E)$ satisfying $b \leqslant g(S,\det E) \leqslant b + 1$ are characterized.
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 119 (1993), 1053-1059
  • MSC: Primary 14J60; Secondary 14C20
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1176482-3
  • MathSciNet review: 1176482