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arXiv · 2512.14995

Cohomology of compactified Jacobians for locally planar integral curves

Junliang Shen
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Abstract

This article surveys some recent developments on the cohomology of the compactified Jacobian associated with a locally planar integral curve. Topics discussed here include the Ng\^o support theorem, the perverse filtration, connections to the Hilbert schemes, and cohomological structures induced by the Arinkin-Fourier-Mukai transform.

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Junliang Shen. 2025-12-17. Cohomology of compactified Jacobians for locally planar integral curves. https://arxiv.org/abs/2512.14995

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