Back to results

University of Illinois at Urbana-Champaign

The Geometry of Finite Lattice Varieties Over Witt Vectors

Abstract

dc:description

For the Demazure desingularization, we investigate a lattice in the smooth locus, give an explicit decomposition formula of its matrix presentation as a product of affine reflections, and construct a smooth projective variety of iterated P1k -bundles with respect to the decomposition. We show that there is a birational proper morphism from the smooth variety onto Latnr K .

Degree

thesis:*
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 and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Sano, Akira
Contributors dc:contributor
  • Haboush, William J.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3153416
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86844

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Sano, Akira. The Geometry of Finite Lattice Varieties Over Witt Vectors. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86844