Lines generate the Picard groups of certain Fermat surfaces
Algebraic Geometry
2016-09-07 v3
Abstract
We answer a question of T.Shioda and show that, for any positive integer prime to 6, the Picard group of the Fermat surface is generated by the classes of lines contained in .
Cite
@article{arxiv.1305.3073,
title = {Lines generate the Picard groups of certain Fermat surfaces},
author = {Alex Degtyarev},
journal= {arXiv preprint arXiv:1305.3073},
year = {2016}
}
Comments
revised and substantially extended (for non-topologists) version; title changed