Symplectic Resolutions for Symmetric Products of Surfaces

Details Symplectic Resolutions for Symmetric Products of Surfaces Symplectic Resolutions for Symmetric Products of Surfaces

2003-04-04

arxiv.org/abs/math/0304066v1

Mathematics

Algebraic Geometry

Scientific paper

Let $S$ be a smooth complex connected analytic surface which admits a
holomorphic symplectic structure. Let $S^{(n)}$ be its $n$th symmetric product.
We prove that every projective symplectic resolution of $S^{(n)}$ is isomorphic
to the Douady-Barlet resolution $S^{[n]} \to S^{(n)}$.

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