Mordell-Weil groups and Zariski triples
Algebraic Geometry
2024-10-22 v1
Abstract
We prove the existence of three irreducible curves of degree 12 with the same number of cusps and different Alexander polynomials. This exhibits a Zariski triple. Moreover we provide a set of generators for the elliptic threefold with constant -invariant 0 and discriminant curve . Finally we consider general degree base change of and calculate the dimension of the equisingular deformation space.
Cite
@article{arxiv.1111.5703,
title = {Mordell-Weil groups and Zariski triples},
author = {Jose Ignacio Cogolludo-Agustin and Remke Kloosterman},
journal= {arXiv preprint arXiv:1111.5703},
year = {2024}
}