The Tropical Jacobian of a Tropical Elliptic Curve Is S^1(Q)

Description

We establish consistent definitions for divisors, principal divisors, and Jacobians of a tropical elliptic curve and show that for a tropical elliptic cubic C , the associated Jacobian (or zero divisor class group) is the group S^1(Q).

Links & Downloads

1. https://scholarsarchive.byu.edu/etd/1868
2. https://scholarsarchive.byu.edu/context/etd/article/2867/viewcontent/ETD_CISOPTR_1893.pdf

Tags

tropical

Jacobian

elliptic

divisor group

curve

cubic

Mathematics

Additional Fields

Identifer	oai:union.ndltd.org:BGMYU2/oai:scholarsarchive.byu.edu:etd-2867
Date	14 July 2008
Creators	Wade, Darryl Gene
Publisher	BYU ScholarsArchive
Source Sets	Brigham Young University
Detected Language	English
Type	text
Format	application/pdf
Source	Theses and Dissertations
Rights	http://lib.byu.edu/about/copyright/