Elliptic fibrations on a generic Jacobian Kummer surface
Algebraic Geometry
2014-09-24 v3
Abstract
We describe all the elliptic fibrations with section on the Kummer surface X of the Jacobian of a very general curve C of genus 2 over an algebraically closed field of characteristic 0, modulo the automorphism group of X and the symmetric group on the Weierstrass points of C. In particular, we compute elliptic parameters and Weierstrass equations for the 25 different fibrations and analyze the reducible fibers and Mordell-Weil lattices. This answers completely a question posed by Kuwata and Shioda in 2008.
Cite
@article{arxiv.1105.1715,
title = {Elliptic fibrations on a generic Jacobian Kummer surface},
author = {Abhinav Kumar},
journal= {arXiv preprint arXiv:1105.1715},
year = {2014}
}
Comments
47 pages, 5 figures. Final version