K3 Surfaces Associated to Curves of Genus Two
نویسنده
چکیده
It is known ([GLD], [Na]) 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.
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