Rational Points on Lattice Varieties

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Bansal, Shivi Shekhar

Contributors dc:contributor

• Maarten Bergvelt

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3314729

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/86898