Genus 2 fields with degree 3 elliptic subfields

Details Genus 2 fields with degree 3 elliptic subfields Genus 2 fields with degree 3 elliptic subfields

2001-09-21

arxiv.org/abs/math/0109155v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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