Torelli Theorem for the Deligne-Hitchin Moduli Space

被引：5

作者：

Biswas, Indranil ^{[1
]}

Gomez, Tomas L. ^{[2
,3
]}

Hoffmann, Norbert ^{[4
,5
]}

Logares, Marina ^{[6
]}

机构：

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

[2] UCM, UC3M, UAM, CSIC,Inst Ciencias Matemat, Madrid 28006, Spain

[3] Univ Complutense Madrid, Fac Ciencias Matemat, E-28040 Madrid, Spain

[4] Free Univ Berlin, Inst Math, D-14195 Berlin, Germany

[5] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany

[6] Fac Ciencias, Dept Matemat Pura, P-4169007 Oporto, Portugal

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2009年 / 290卷 / 01期

关键词：

COMPACT RIEMANN SURFACE; VECTOR-BUNDLES; CURVE;

D O I：

10.1007/s00220-009-0831-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fix integers g >= 3 and r >= 2, with r >= 3 if g = 3. Given a compact connected Riemann surface X of genus g, let M-DH(X) denote the corresponding SL(r, C) Deligne-Hitchin moduli space. We prove that the complex analytic space M-DH(X) determines (up to an isomorphism) the unordered pair {X, (X) over bar}, where (X) over bar is the Riemann surface defined by the opposite almost complex structure on X.

引用

页码：357 / 369

页数：13

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