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Brylinski-Radon transformation in characteristic p>0

2023/07/09 by Deepam Patel, K. V. Shuddhodan, Patel, Deepam +1
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2307.04156

Abstract

In this article, we characterize the image of the Brylinski-Radon transform in characteristic p>0 via Beilinson's theory of singular supports. We also provide an alternate proof of Brylinski's results over ℂ, which also works for sheaves with finite coefficients. Along the way, we also obtain a microlocal criterion for the descent of perverse sheaves which could be of independent interest.

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