A Torelli theorem for moduli spaces of principal bundles over a curve

Details A Torelli theorem for moduli spaces of principal bundles over a curve A Torelli theorem for moduli spaces of principal bundles over a curve

2010-03-22

arxiv.org/abs/1003.4061v2

Mathematics

Algebraic Geometry

v2: 19 pages. final version, accepted for publication in Ann. Inst. Fourier

Scientific paper

Let X and X' be compact Riemann surfaces of genus at least 3, and let G and
G' be nonabelian reductive complex groups. If one component M_G^d(X) of the
moduli space for semistable principal G-bundles over X is isomorphic to another
component M_{G'}^{d'}(X'), then X is isomorphic to X'.

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