Skip to main content
Article thumbnail
Location of Repository

Elliptic fibrations on a generic Jacobian Kummer surface

By Abhinav Kumar


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.Comment: 47 pages, 5 figures. Final versio

Topics: Mathematics - Algebraic Geometry, 14J27, 14J28, 14H45
Year: 2014
DOI identifier: 10.1090/S1056-3911-2014-00620-2
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.