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arXiv · 2602.19318

Dualizable abelian fibrations

Davesh Maulik·Junliang Shen·Qizheng Yin
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Abstract

In his proof of the fundamental lemma of the Langlands program, Ng\^o initiated the study of the decomposition theorem for abelian fibrations. When an abelian fibration admits a duality structure, the decomposition theorem and the perverse filtration on cohomology exhibit rich structures. The purpose of these notes is to describe a framework for dualizable abelian fibrations and to discuss some recent progress and applications.

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Davesh Maulik, Junliang Shen, Qizheng Yin. 2026-02-22. Dualizable abelian fibrations. https://arxiv.org/abs/2602.19318

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