Rational Points on Lattice Varieties

Bansal, Shivi Shekhar

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Title:	Rational Points on Lattice Varieties
Author(s):	Bansal, Shivi Shekhar
Doctoral Committee Chair(s):	Maarten Bergvelt
Department / Program:	Mathematics
Discipline:	Mathematics
Degree Granting Institution:	University of Illinois at Urbana-Champaign
Degree:	Ph.D.
Genre:	Dissertation
Subject(s):	Mathematics
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.
Issue Date:	2008
Type:	Text
Language:	English
Description:	51 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.
URI:	http://hdl.handle.net/2142/86898
Other Identifier(s):	(MiAaPQ)AAI3314729
Date Available in IDEALS:	2015-09-28
Date Deposited:	2008