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Convolution and EquidistributionSato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)$
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Nicholas M. Katz

Print publication date: 2012

Print ISBN-13: 9780691153308

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691153308.001.0001

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Convolution of Perverse Sheaves

Convolution of Perverse Sheaves

(p.19) Chapter 2 Convolution of Perverse Sheaves
Convolution and Equidistribution

Nicholas M. Katz

Princeton University Press

Let k be a finite field, q its cardinality, p its characteristic, 𝓁 ≠ p a prime number, and 𝓖/k a smooth commutative group scheme which over k¯ becomes isomorphic to 𝔾ₘ/k¯. This chapter is concerned with perverse sheaves on 𝓖/k and on 𝓖/k¯.

Keywords:   finite field, number theory, perverse sheaves

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