Extremal elliptic surfaces & Infinitesimal Torelli
Algebraic Geometry
2023-10-09 v3
Abstract
We describe in terms of the j-invariant all elliptic surfaces pi: X -> C with a section, such that h^{1,1}(X)=rank NS(X) and the Mordell-Weil group of pi is finite. We use this to give a complete solution to infinitesimal Torelli for elliptic surfaces with a section over P^1.
Cite
@article{arxiv.math/0210386,
title = {Extremal elliptic surfaces & Infinitesimal Torelli},
author = {Remke Kloosterman},
journal= {arXiv preprint arXiv:math/0210386},
year = {2023}
}
Comments
16 pages; 3rd version; small changes to the third and fourth section