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

共 50 条

[1] Torelli theorem for the parabolic Deligne-Hitchin moduli space
Alfaya, David
Gomez, Tomas L.
JOURNAL OF GEOMETRY AND PHYSICS, 2018, 123 : 448 - 462
[2] TORELLI THEOREM FOR THE DELIGNE-HITCHIN MODULI SPACE, II
Biswas, Indranil
Gomez, Tomas L.
Hoffmann, Norbert
DOCUMENTA MATHEMATICA, 2013, 18 : 1177 - 1189
[3] Torelli Theorem for the Deligne–Hitchin Moduli Space
Indranil Biswas
Tomás L. Gómez
Norbert Hoffmann
Marina Logares
Communications in Mathematical Physics, 2009, 290 : 357 - 369
[4] On the Automorphisms of a Rank One Deligne-Hitchin Moduli Space
Biswas, Indranil
Heller, Sebastian
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2017, 13
[5] Energy of sections of the Deligne-Hitchin twistor space
Beck, Florian
Heller, Sebastian
Roeser, Markus
MATHEMATISCHE ANNALEN, 2021, 380 (3-4) : 1169 - 1214
[6] Real Holomorphic Sections of the Deligne-Hitchin Twistor Space
Biswas, Indranil
Heller, Sebastian
Roeser, Markus
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 366 (03) : 1099 - 1133
[7] Generalized Deligne-Hitchin twistor spaces: Construction and properties
Hu, Zhi
Huang, Pengfei
Zong, Runhong
BULLETIN DES SCIENCES MATHEMATIQUES, 2024, 191
[8] Torelli theorem for the moduli space of framed bundles
Biswas, I.
Gomez, T.
Munoz, V.
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2010, 148 : 409 - 423
[9] A Torelli theorem for the moduli space of parabolic Higgs bundles
Gomez, Tomas L.
Logares, Marina
ADVANCES IN GEOMETRY, 2011, 11 (03) : 429 - 444
[10] A Torelli theorem for the moduli space of Higgs bundles on a curve
Biswas, I
Gómez, TL
QUARTERLY JOURNAL OF MATHEMATICS, 2003, 54 : 159 - 169

← 1 2 3 4 5 →