Short equations for the genus 2 covers of degree 3 of an elliptic curve

Details Short equations for the genus 2 covers of degree 3 of an elliptic curve Short equations for the genus 2 covers of degree 3 of an elliptic curve

2005-03-21

arxiv.org/abs/math/0503412v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

E. Kani has shown that the Hurwitz functor, which parametrizes the
(normalized) genus 2 covers of degree 3 of an elliptic curve, is representable.
In this paper the corresponding moduli scheme and the universal family are
explicitly calculated and described by short equations.

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