The derived homogeneous Fourier transform

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.

arXiv comment30 pages, absorbed into arXiv:2403.19711; v2 has minor corrections