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https://hdl.handle.net/2142/86898
Description
Title
Rational Points on Lattice Varieties
Author(s)
Bansal, Shivi Shekhar
Issue Date
2008
Doctoral Committee Chair(s)
Maarten Bergvelt
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
Lattice varieties play an important role in several areas of mathematics. In this thesis we investigate the properties of rational points on lattice varieties over Witt vectors with algebraically closed residue field in prime characteristic. These varieties are defined over a finite field. For varieties over finite field, the local zeta function encapsulates valuable number-theoretic information about the variety. We calculate explicitly the zeta functions of these lattice varieties.
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