GENERA OF BRILL-NOETHER CURVES AND STAIRCASE PATHS IN YOUNG TABLEAUX

被引：16

作者：

Chan, Melody ^{[1
]}

Martin, Alberto Lopez ^{[2
]}

Pflueger, Nathan ^{[1
,3
]}

Teixidor i Bigas, Montserrat ^{[4
]}

机构：

[1] Brown Univ, Dept Math, Box 1917, Providence, RI 02912 USA

[2] IMPA, Estr Dona Castorina 110, BR-22460902 Rio De Janeiro, RJ, Brazil

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

[4] Tufts Univ, Dept Math, Medford, MA 02155 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 05期

关键词：

LIMIT LINEAR SERIES; SPECIAL DIVISORS; DEGENERACY LOCI; THEOREM;

D O I：

10.1090/tran/7044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we compute the genus of the variety of linear series of rank r and degree d on a general curve of genus g, with ramification at least a and beta at two given points, when that variety is 1-dimensional. Our proof uses degenerations and limit linear series along with an analysis of random staircase paths in Young tableaux, and produces an explicit scheme-theoretic description of the limit linear series of fixed rank and degree on a generic chain of elliptic curves when that scheme is itself a curve.

引用

页码：3405 / 3439

页数：35

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