The derived homogeneous Fourier transform
Algebraic Geometry
2024-10-10 v2
Abstract
We study a derived version of Laumon's homogeneous Fourier transform, which exchanges G_m-equivariant sheaves on a derived vector bundle and its dual. In this context, the Fourier transform exhibits a duality between derived and stacky phenomena. This is the first in a series of papers on derived microlocal sheaf theory.
Cite
@article{arxiv.2311.13270,
title = {The derived homogeneous Fourier transform},
author = {Adeel A. Khan},
journal= {arXiv preprint arXiv:2311.13270},
year = {2024}
}
Comments
30 pages, absorbed into arXiv:2403.19711; v2 has minor corrections