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arXiv · 1603.05613

Some explicit elliptic modular surfaces

Laure Flapan
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Abstract

We consider algebraic surfaces, recently constructed by Schreieder, that are smooth models of the quotient of the self-product of a complex hyperelliptic curve by a $(\mathbb{Z}/3^c\mathbb{Z})$-action. We show that these surfaces are elliptic modular surfaces in the sense of Shioda, meaning in particular that they are universal families of explicit moduli of elliptic curves.

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Laure Flapan. 2016-03-17. Some explicit elliptic modular surfaces. https://arxiv.org/abs/1603.05613

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