Even nodal surfaces of K3 type
Algebraic Geometry
2024-02-14 v1
Abstract
We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperK\"ahler varieties. As a result we describe families of nodal surfaces that can be seen as generalisations of Kummer quartic surfaces. Each of these families actually arises through two families of Fano fourfolds, whose conic bundle structures are related by hyperbolic reduction.
Cite
@article{arxiv.2402.08528,
title = {Even nodal surfaces of K3 type},
author = {Marcello Bernardara and Enrico Fatighenti and Grzegorz Kapustka and Michał Kapustka and Laurent Manivel and Giovanni Mongardi and Fabio Tanturri},
journal= {arXiv preprint arXiv:2402.08528},
year = {2024}
}