On the classification of degree 1 elliptic threefolds with constant $j$-invariant
Algebraic Geometry
2024-10-21 v2
Abstract
We describe the possible Mordell-Weil groups for degree 1 elliptic threefold with rational base and constant -invariant. Moreover, we classify all such elliptic threefolds if the -invariant is nonzero. We can use this classification to describe a class of singular hypersurfaces in that admit no variation of Hodge structure.
Keywords
Cite
@article{arxiv.0812.3014,
title = {On the classification of degree 1 elliptic threefolds with constant $j$-invariant},
author = {Remke Kloosterman},
journal= {arXiv preprint arXiv:0812.3014},
year = {2024}
}
Comments
A new proof for Proposition 3.5 is provided; several minor changes