Indranil Biswas, Tomás L. Gómez, and Norbert Hoffmann

摘要

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 $Xbar$.