Integrable Systems and Torelli Theorems for the Moduli Spaces of Parabolic Bundles and Parabolic Higgs Bundles

被引：3

作者：

Biswas, Indranil ^{[1
]}

Gomez, Tomas L. ^{[2
]}

Logares, Marina ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Bombay 400005, Maharashtra, India

[2] CSIC UAM UC3M UCM, Inst Ciencias Matemat, C Nicolas Cabrera 15, Madrid 28049, Spain

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2016年 / 68卷 / 03期

关键词：

parabolic bundle; Higgs field; Torelli theorem; VECTOR-BUNDLES; CURVES;

D O I：

10.4153/CJM-2015-039-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Torelli theorem for the moduli space of semistable parabolic Higgs bundles over a smooth complex projective algebraic curve under the assumption that the parabolic weight system is generic. When the genus is at least two, using this result we also prove a Torelli theorem for the moduli space of semistable parabolic bundles of rank at least two with generic parabolic weights. The key input in the proofs is a method of J.C. Hurtubise.

引用

页码：504 / 520

页数：17

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