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arXiv · 2206.09587

Perverse filtration for generalized Kummer varieties of fibered surfaces

Zili Zhang
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Abstract

Let $A\to C$ be a proper surjective morphism from a smooth connected quasi-projective commutative group scheme of dimension 2 to a smooth curve. The construction of generalized Kummer varieties gives a proper morphism $A^{[[n]]}\to C^{((n))}$. We show that the perverse filtration associated with this morphism is multiplicative.

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Zili Zhang. 2022-06-20. Perverse filtration for generalized Kummer varieties of fibered surfaces. https://doi.org/10.1093/imrn%2Frnad292

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