The Strong Maximal Rank conjecture and higher rank Brill-Noether theory

被引：1

作者：

Cotterill, Ethan ^{[1
]}

Alonso Gonzalo, Adrian ^{[2
]}

Zhang, Naizhen ^{[3
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat, Rua Prof Waldemar de Freitas S-N,Campus Gragoata, BR-24210201 Niteroi, RJ, Brazil

[2] Univ Autonoma Barcelona, Dept Math, Barcelona 08193, Spain

[3] Leibniz Univ Hannover, Inst Differentialgeometrie, Welfengarten 1, D-30167 Hannover, Germany

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2021年 / 104卷 / 01期

关键词：

VECTOR-BUNDLES; MAP; DIVISORS; SUMS; LOCI;

D O I：

10.1112/jlms.12427

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we compute the cohomology class of certain 'special maximal-rank loci' originally defined by Aprodu and Farkas. By showing that such classes are non-zero, we are able to verify the non-emptiness portion of the Strong Maximal Rank Conjecture in a wide range of cases. As an application, we obtain new evidence for the existence portion of a well-known conjecture due to Bertram, Feinberg and independently Mukai in higher rank Brill-Noether theory.

引用

页码：169 / 205

页数：37

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