University of Illinois Urbana-Champaign

The Geometry of Finite Lattice Varieties Over Witt Vectors

Sano, Akira

This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.

Permalink

https://hdl.handle.net/2142/86844

Description

Title
The Geometry of Finite Lattice Varieties Over Witt Vectors
Author(s)
Sano, Akira
Issue Date
2004
Doctoral Committee Chair(s)
Haboush, William J.
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
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 .
Graduation Semester
2004
Type of Resource
text
Permalink
http://hdl.handle.net/2142/86844

Owning Collections

Graduate Dissertations and Theses at Illinois PRIMARY
Graduate Theses and Dissertations at Illinois
Dissertations and Theses - Mathematics