University of Illinois Urbana-Champaign

Rigid Analytic Uniformization of Hyperelliptic Curves

Kadziela, Samuel

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/2142/86885

Description

Title
Rigid Analytic Uniformization of Hyperelliptic Curves
Author(s)
Kadziela, Samuel
Issue Date
2007
Doctoral Committee Chair(s)
Iwan Duursma
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
We describe a method for approximating the Mumford curve model O/Gamma of a given totally split hyperelliptic curve y2 = i=12g+2x-a i . Once the generators of the Schottky group Gamma are obtained, we also explain how to use them to compute the period lattice of the Jacobian of the curve.
Graduation Semester
2007
Type of Resource
text
Permalink
http://hdl.handle.net/2142/86885

Owning Collections

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