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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2023
- DOI:
- 10.48550/arXiv.2311.13270
- arXiv:
- arXiv:2311.13270
- Bibcode:
- 2023arXiv231113270K
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 29 pages