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math.AG2025
Cohomology of compactified Jacobians for locally planar integral curves
Junliang Shen
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 Ngô…
math.AG2025
The intrinsic cohomology ring of the universal compactified Jacobian over the moduli space of stable curves
Younghan Bae, Davesh Maulik, Junliang Shen +1
The purpose of this paper is to study the cohomology rings of universal compactified Jacobians. Over the moduli space of Deligne-Mumford stable marke…
math.AG2025
The period-index problem for hyper-Kähler varieties via hyperholomorphic bundles
James Hotchkiss, Davesh Maulik, Junliang Shen +2
We prove new bounds for the period-index problem for hyper-Kähler varieties of -type using projectively hyperholomorphic bundles constructed by Markman. We show that $\ma…