Geodesic
Torelli theorem for the Deligne-Hitchin moduli space. II
Documenta mathematica, Tome 18 (2013), pp. 1177-1189.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $\CC$. If some components $\MDH^d(X,G)$ and $\MDH^{d'}(X',G')$ of the associated Deligne--Hitchin moduli spaces are biholomorphic, then $X'$ is isomorphic to $X$ or to the conjugate Riemann surface $\Xbar$.
Classification : 14D20, 14C34
Keywords: principal bundle, Deligne--Hitchin moduli space, Higgs bundle, vector field 
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     author = {Biswas, Indranil and G\'omez, Tom\'as L.},
     title = {Torelli theorem for the {Deligne-Hitchin} moduli space. {II}},
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     year = {2013},
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Biswas, Indranil; Gómez, Tomás L. Torelli theorem for the Deligne-Hitchin moduli space. II. Documenta mathematica, Tome 18 (2013), pp. 1177-1189. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a14/