在有理纤维表面的斜坡上

Pub Date : 2020-04-01 DOI:10.18910/75922
M. Castañeda-Salazar, A. Zamora
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引用次数: 0

摘要

给定有理纤维曲面f:X→ 我们证明了亏格g的不等式6n+5n+1−9n+12g≤λf,条件是亏格g相对于一般纤维的多边形2n+3足够高。
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On the slope of rational fibered surfaces
Given a rational fibered surface f : X → P1 of genus g we prove the inequality 6n+5 n+1 − 9n+12 2g ≤ λ f , provided that the genus g is sufficiently high with respect to the gonality 2n+3 of the general fibre.
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