The Gieseker-Petri theorem and imposed ramification

被引：3

作者：

Chan, Melody ^{[1
]}

Osserman, Brian ^{[2
]}

Pflueger, Nathan ^{[3
]}

机构：

[1] Brown Univ, Dept Math, POB 1917,151 Thayer St, Providence, RI 02912 USA

[2] Univ Calif Davis, Dept Math, One Shields Ave, Davis, CA 95616 USA

[3] Amherst Coll, Dept Math & Stat, Amherst, MA 01002 USA

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2019年 / 51卷 / 06期

关键词：

14H51 (primary); 14M15 (secondary); PROOF; DIVISORS;

D O I：

10.1112/blms.12273

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a smoothness result for spaces of linear series with prescribed ramification on twice-marked elliptic curves. In characteristic 0, we then apply the Eisenbud-Harris theory of limit linear series to deduce a new proof of the Gieseker-Petri theorem, along with a generalization to spaces of linear series with prescribed ramification at up to two points. Our main calculation involves the intersection of two Schubert cycles in a Grassmannian associated to almost-transverse flags.

引用

页码：945 / 960

页数：16

共 38 条

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