K3 surfaces associated with curves of genus two
Algebraic Geometry
2013-07-05 v2
Abstract
It is known (work of Galluzzi, Lombardo, Dolgachev and Naruki) that there is a unique K3 surface X which corresponds to a genus 2 curve C such that X has a Shioda-Inose structure with quotient birational to the Kummer surface of the Jacobian of C. In this paper we give an explicit realization of X as an elliptic surface over P^1 with specified singular fibers of type II^* and III^*. We describe how the Weierstrass coefficients are related to the Igusa-Clebsch invariants of C.
Keywords
Cite
@article{arxiv.math/0701669,
title = {K3 surfaces associated with curves of genus two},
author = {Abhinav Kumar},
journal= {arXiv preprint arXiv:math/0701669},
year = {2013}
}
Comments
21 pages