Torelli Theorem for the Deligne–hitchin Moduli Space
نویسنده
چکیده
Fix integers g ≥ 3 and r ≥ 2, with r ≥ 3 if g = 3. Given a compact connected Riemann surface X of genus g, letMDH(X) denote the corresponding SL(r, C) Deligne–Hitchin moduli space. We prove that the complex analytic space MDH(X) determines (up to an isomorphism) the unordered pair {X, X}, where X is the Riemann surface defined by the opposite almost complex structure on X .
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