Advances in Mathematics· 2026Q1
Brylinski-Radon transformation in characteristic p > 0
- 0citations
- Q1SCImago
- 2026year
Short summary
The image of the Brylinski-Radon transform in characteristic p > 0 is characterized using Beilinson's theory of singular support, resolving a question posed by Brylinski.
AI-generated from the title and abstract; the full text is not read.
Key points
- Characterizes the image of the Brylinski-Radon transform in characteristic p > 0.
- Utilizes Beilinson's theory of singular support to achieve this characterization.
- Provides an alternate proof of Brylinski's results over C, valid for sheaves with finite coefficients.
- Derives a microlocal criterion for the descent of perverse sheaves.
AI-generated from the title and abstract; the full text is not read.
Abstract
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.
The authors' abstract, as published at the source. Advances in Mathematics, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Mathematical Physics
Mathematical PhysicsMathematics