Quintic surfaces with maximum and other Picard numbers
Algebraic Geometry
2011-09-20 v7 Number Theory
Abstract
This paper investigates the Picard numbers of quintic surfaces. We give the first example of a complex quintic surface in IP^3 with maximum Picard number 45. We also investigate its arithmetic and determine the zeta function. Similar techniques are applied to produce quintic surfaces with several other Picard numbers that have not been achieved before.
Keywords
Cite
@article{arxiv.0812.3519,
title = {Quintic surfaces with maximum and other Picard numbers},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:0812.3519},
year = {2011}
}
Comments
13 pages; typo in table 1 corrected thanks to Xavier Roulleau