Local multiplicativity of perverse filtrations

Zili Zhang

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arXiv · 2504.19439

Local multiplicativity of perverse filtrations

Zili Zhang

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Abstract

Let $f:S\to C$ be a proper surjective morphism from a smooth K\"ahler surface to a smooth curve. We show that the local perverse filtration associated with the induced map $S^{[n]}\to C^{(n)}$ is multiplicative on each fiber if and only if $f$ is an elliptic fibration.

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Zili Zhang. 2025-04-28. Local multiplicativity of perverse filtrations. https://arxiv.org/abs/2504.19439

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