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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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A Second Construction of Autodual Objects

A Second Construction of Autodual Objects

Chapter:
(p.55) Chapter 11 A Second Construction of Autodual Objects
Source:
Convolution and Equidistribution
Author(s):

Nicholas M. Katz

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691153308.003.0012

This chapter works on the split form 𝔾ₘ/k, Spec(k[x; 1/x]). It begins with a geometrically irreducible lisse sheaf Ƒ on an open dense set U ⊂ 𝔾ₘ which is ι‎-pure of weight zero and which is self-dual: Ƒ ≅ F with hook and macron.

Keywords:   number theory, autoduality, autodual objects

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