Genus 2 fields with degree 3 elliptic subfields
Algebraic Geometry
2012-09-17 v1 Mathematical Physics
math.MP
Number Theory
Abstract
In this paper we study genus 2 function fields K with degree 3 elliptic subfields. We show that the number of Aut(K)-classes of such subfields of K is 0,1,2, or 4. Also we compute an equation for the locus of such K in the moduli space of genus 2 curves.
Cite
@article{arxiv.math/0109155,
title = {Genus 2 fields with degree 3 elliptic subfields},
author = {Tony Shaska},
journal= {arXiv preprint arXiv:math/0109155},
year = {2012}
}