Affine cohomological transforms, perversity, and monodromy

  title={Affine cohomological transforms, perversity, and monodromy},
  author={Nicholas M. Katz},
It is now nearly a decade since the theories of perverse sheaves and of the /adic Fourier transform came into being and gave fundamental new insights into the behavior of additive character sums over finite fields. Most of these insights were spellings out of the basic fact that the Fourier transform of a perverse sheaf is itself a perverse sheaf, a statement that amounts to a succession of vanishing statements for various compactly supported cohomology groups. This vanishing, applied to input… CONTINUE READING


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