EXPECTED DIMENSIONS OF HIGHER-RANK BRILL-NOETHER LOCI

被引：1
|
作者：
Zhang, Naizhen [1 ]
机构：
[1] Univ Calif Davis, Dept Math, One Shields Ave, Davis, CA 95616 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 09期
关键词：
CONJECTURE;
D O I：
10.1090/proc/13542
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove a new expected dimension formula for certain rank two Brill-Noether loci with fixed special determinant. This answers a question asked by Osserman and also leads to a new and much simpler proof of a theorem in his 2015 work. Our result generalizes the well-known result by Bertram, Feinberg and independently Mukai on expected dimension of rank two Brill-Noether loci with canonical determinant and partially verifies a conjecture (in rank two) of Grzegorczyk and Newstead on coherent systems.
引用
收藏
页码：3735 / 3746
页数：12
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