A Geometric Height on Genus One Curves /

Saved in:
Bibliographic Details
Author / Creator:Lim, Chang Mou, author.
Ann Arbor : ProQuest Dissertations & Theses, 2017
Description:1 electronic resource (30 pages)
Format: E-Resource Dissertations
Local Note:School code: 0330
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11715103
Hidden Bibliographic Details
Other authors / contributors:University of Chicago. degree granting institution.
Notes:Advisors: Matthew J. Emerton Committee members: Kazuya Kato.
Dissertation Abstracts International, Volume: 78-12(E), Section: B.
Summary:Inspired by Faltings height on abelian varieties, we define a height on genus one curves and demonstrate some finiteness properties related to the Weil-Chatelet and Tate-Shaferevich groups of elliptic curves.