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Symplectic Resolutions for Symmetric Products of Surfaces

Baohua Fu
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Abstract

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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Baohua Fu. 2003-04-04. Symplectic Resolutions for Symmetric Products of Surfaces. https://arxiv.org/abs/math/0304066

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