Torelli theorem for the Deligne–Hitchin moduli space. II
Documenta mathematica, Tome 18 (2013), pp. 1177-1189
Let X and X′ be compact Riemann surfaces of genus at least three. Let G and G′ be nontrivial connected semisimple linear algebraic groups over C. If some components MDHd(X,G) and MDHd′(X′,G′) of the associated Deligne–Hitchin moduli spaces are biholomorphic, then X′ is isomorphic to X or to the conjugate Riemann surface X.
Classification :
14C34, 14D20
Mots-clés : principal bundle, Higgs bundle, Deligne--Hitchin moduli space, vector field
Mots-clés : principal bundle, Higgs bundle, Deligne--Hitchin moduli space, vector field
@article{10_4171_dm_424,
author = {Indranil Biswas and Tom\'as L. G\'omez and Norbert Hoffmann},
title = {Torelli theorem for the {Deligne{\textendash}Hitchin} moduli space. {II}},
journal = {Documenta mathematica},
pages = {1177--1189},
year = {2013},
volume = {18},
doi = {10.4171/dm/424},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/424/}
}
TY - JOUR AU - Indranil Biswas AU - Tomás L. Gómez AU - Norbert Hoffmann TI - Torelli theorem for the Deligne–Hitchin moduli space. II JO - Documenta mathematica PY - 2013 SP - 1177 EP - 1189 VL - 18 UR - http://geodesic.mathdoc.fr/articles/10.4171/dm/424/ DO - 10.4171/dm/424 ID - 10_4171_dm_424 ER -
Indranil Biswas; Tomás L. Gómez; Norbert Hoffmann. Torelli theorem for the Deligne–Hitchin moduli space. II. Documenta mathematica, Tome 18 (2013), pp. 1177-1189. doi: 10.4171/dm/424
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