Vector bundles on a nearly degenerate Riemann surface

被引：0

作者：

Ichikawa, Takashi ^{[1
]}

机构：

[1] Saga Univ, Dept Math, Fac Sci & Engn, Saga 8408502, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2011年 / 268卷 / 3-4期

关键词：

GENERALIZED THETA-FUNCTIONS; VERLINDE FORMULA; MODULI SPACES; FACTORIZATION; CURVES;

D O I：

10.1007/s00209-010-0703-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that on a Riemann surface X close to a maximally degenerate complex curve, any semistable vector bundle of degree 0 is associated with a linear representation of the Schottky group I" (X) uniformizing X. Further, we study the relationship between the representation space of I" (X) and the moduli space of semistable bundles on X as a higher rank version of Abel-Jacobi's theorem.

引用

页码：969 / 977

页数：9

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