Files in this item
Files | Description | Format |
---|---|---|
application/pdf ![]() ![]() | (no description provided) |
Description
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 |
This item appears in the following Collection(s)
-
Dissertations and Theses - Mathematics
-
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois