Some examples of rank-2 Brill-Noether loci

被引：2
|
作者：
Newstead, P. E. [1 ]
机构：
[1] Univ Liverpool, Dept Math Sci, Peach St, Liverpool L69 7ZL, Merseyside, England
来源：
REVISTA MATEMATICA COMPLUTENSE | 2018年 / 31卷 / 01期
关键词：
Algebraic curve; Semistable vector bundle; Clifford index; Brill-Noether theory; VECTOR-BUNDLES; CANONICAL DETERMINANT; THEOREM;
D O I：
10.1007/s13163-017-0241-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct some examples of rank-2 Brill-Noether loci with "unexpected" properties on general curves. The key examples are in genus 6, but we also have interesting examples in genus 5 and in higher genus. We relate some of our results to the recent proof of Mercat's conjecture in rank 2 by Bakker and Farkas.
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页码：201 / 215
页数：15
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