On the Perversity of Chern Classes for Compactified Jacobians

Abstract

We prove some perversity bounds for the Chern classes of a compactified Jacobian fibration, namely the k-th Chern class of the compactified Jacobian has perversity ≤ k. Our results are motivic in nature, and we also prove a filtration version of a conjecture raised in arXiv:2402:08861.

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