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arXiv · 1701.02799

Equations and tropicalization of Enriques surfaces

Barbara Bolognese·Corey Harris·Joachim Jelisiejew
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Abstract

In this article we explicitly compute equations of an Enriques surface via the involution on a K3 surface. We also discuss its tropicalization and compute the tropical homology, thus recovering a special case of the result of \cite{IKMZ}, and establish a connection between the dimension of the tropical homology groups and the Hodge numbers of the corresponding algebraic Enriques surface.

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Barbara Bolognese, Corey Harris, Joachim Jelisiejew. 2017-01-10. Equations and tropicalization of Enriques surfaces. https://arxiv.org/abs/1701.02799

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