Explicit Schoen surfaces

Carlos Rito; Xavier Roulleau; Alessandra Sarti

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arXiv · 1609.02235

Explicit Schoen surfaces

Carlos Rito·Xavier Roulleau·Alessandra Sarti

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Abstract

We give an explicit construction for the $4$-dimensional family of Schoen surfaces by computing equations for their canonical images, which are $40$-nodal complete intersections of a quadric and the Igusa quartic in $\mathbb P^4$. We then study a particularly interesting example, with $240$ automorphisms and maximal Picard number.

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Carlos Rito, Xavier Roulleau, Alessandra Sarti. 2016-09-08. Explicit Schoen surfaces. https://arxiv.org/abs/1609.02235

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