A new Fourier transform

  title={A new Fourier transform},
  author={Jonathan Wang},
  journal={arXiv: Algebraic Geometry},
  • Jonathan Wang
  • Published 22 February 2014
  • Mathematics
  • arXiv: Algebraic Geometry
In order to define a geometric Fourier transform, one usually works with either $\ell$-adic sheaves in characteristic $p>0$ or with $D$-modules in characteristic 0. If one considers $\ell$-adic sheaves on the stack quotient of a vector bundle $V$ by the homothety action of $\mathbb{G}_m$, however, Laumon provides a uniform geometric construction of the Fourier transform in any characteristic. The category of sheaves on $[V/\mathbb{G}_m]$ is closely related to the category of (unipotently… 
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