Fourier--Mukai transforms commuting with Frobenius
Algebraic Geometry
2024-08-01 v2
Abstract
We show that a Fourier--Mukai equivalence between smooth projective varieties of characteristic which commutes with either pushforward or pullback along Frobenius is a composition of shifts, isomorphisms, and tensor product with invertible sheaves whose th tensor power is trivial.
Keywords
Cite
@article{arxiv.2402.01873,
title = {Fourier--Mukai transforms commuting with Frobenius},
author = {Daniel Bragg},
journal= {arXiv preprint arXiv:2402.01873},
year = {2024}
}
Comments
Final version. To appear in the Bulletin of the London Mathematical Society