On the Orders of Jacobians of Hyperelliptic Curves
Kuhlman, Douglas Andrew
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/2142/86995
Description
Title
On the Orders of Jacobians of Hyperelliptic Curves
Author(s)
Kuhlman, Douglas Andrew
Issue Date
2000
Doctoral Committee Chair(s)
Boston, Nigel
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
Along the way, we discuss algorithms to efficiently perform group operations in Jacobians of hyperelliptic curves and methods of finding their orders. We conclude by generalizing some heuristics from the case of genus 1 to genus 2 and beyond.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
