Torelli theorem for the Deligne--Hitchin moduli space, II

2012/02/29 by Indranil Biswas, Biswas, Indranil, Tomás L. Gómez +3
Mathematics · #14C34 #14D20 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C34 #msc:14D20

paper · pdf · doi:10.48550/arxiv.1202.6518

10 pages

arxiv created 2012/02/29 · arxiv updated 2012/03/01

Abstract

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 M_DH^d(X,G) and M_DH^d'(X',G') of the associated Deligne--Hitchin moduli spaces are biholomorphic, then X' is isomorphic to X or to the conjugate Riemann surface X.

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