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Genus 2 fields with degree 3 elliptic subfields

Tony Shaska
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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.

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Tony Shaska. 2001-09-21. Genus 2 fields with degree 3 elliptic subfields. https://arxiv.org/abs/math/0109155

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