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A microlocal criterion for commuting nearby cycles

2020/03/25 by David Nadler, Nadler, David
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2003.11477

openalex publication_date 2020/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a microlocal criterion for the equivalence of iterated nearby cycles along different flags of subspaces in a higher-dimensional base. The result is motivated by its application to Hitchin systems in the context of Betti geometric Langlands. I thank Claude Sabbah for bringing papers of Maisonobe and Kocherperger to my attention. Among many interesting results, they include assertions implying the main assertions of this paper. I will leave this paper on the arXiv as a possibly useful additional reference.

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