Automorphism fixed points in the moduli space of semistable bundles

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

Given an automorphism of a smooth complex algebraic curve, there is an
induced action on the moduli space of semi-stable rank 2 holomorphic bundles
with fixed determinant. We give a complete description of the fixed variety in
terms of moduli spaces of parabolic bundles on the quotient curve.

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