Picard numbers of quintic surfaces
Algebraic Geometry
2016-11-14 v2 Number Theory
Abstract
We solve the Picard number problem for complex quintic surfaces by proving that every number between 1 and 45 occurs as Picard number of a quintic surface over the rationals. Our main technique consists in arithmetic deformations of Delsarte surfaces, but we also use K3 surfaces and wild automorphisms.
Keywords
Cite
@article{arxiv.1308.2525,
title = {Picard numbers of quintic surfaces},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:1308.2525},
year = {2016}
}
Comments
56 pages, 1 figure; v2: minor changes