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
- Proc. Amer. Math. Soc. 119 (1993), 1053-1059
- DOI: https://doi.org/10.1090/S0002-9939-1993-1176482-3
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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.References
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Bibliographic 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