In this article, we characterize the image of the Brylinski-Radon transform in characteristic p > 0 via Beilinson's theory of singular support, settling a question of Brylinski. 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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Patel et al. (2026) studied this question.
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