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arXiv · 2311.13270

The derived homogeneous Fourier transform

Adeel A. Khan
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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.

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Adeel A. Khan. 2023-11-22. The derived homogeneous Fourier transform. https://arxiv.org/abs/2311.13270

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