One-dimensional Local Families of Complex K3 Surfaces
Algebraic Geometry
2024-06-04 v1
Abstract
For any complex K3 surface , we construct a one-dimensional deformation in which all integers with occur as Picard numbers of some fibres. In contrast, we prove that the generic one-dimensional local family of K3 surfaces admits only and as Picard numbers of the fibres.
Cite
@article{arxiv.2209.13003,
title = {One-dimensional Local Families of Complex K3 Surfaces},
author = {Riccardo Carini and Francesco Viganò},
journal= {arXiv preprint arXiv:2209.13003},
year = {2024}
}
Comments
10 pages, 4 figures