Dualizable abelian fibrations
Algebraic Geometry
2026-02-24 v1
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.
Keywords
Cite
@article{arxiv.2602.19318,
title = {Dualizable abelian fibrations},
author = {Davesh Maulik and Junliang Shen and Qizheng Yin},
journal= {arXiv preprint arXiv:2602.19318},
year = {2026}
}
Comments
25 pages. Submitted to the Proceedings of the 2025 Summer Research Institute in Algebraic Geometry