English

Equations and tropicalization of Enriques surfaces

Algebraic Geometry 2017-06-22 v2 Combinatorics

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.

Keywords

Cite

@article{arxiv.1701.02799,
  title  = {Equations and tropicalization of Enriques surfaces},
  author = {Barbara Bolognese and Corey Harris and Joachim Jelisiejew},
  journal= {arXiv preprint arXiv:1701.02799},
  year   = {2017}
}

Comments

24 pages, comments most welcome!

R2 v1 2026-06-22T17:46:48.533Z