Asymptotic period relations for Jacobian elliptic surfaces

Abstract

We find an asymptotic description of the period locus of simply connected Jacobian elliptic surfaces and of the period locus of hyperelliptic curves. The two descriptions are essentially the same, and are given by the alkanes of organic chemistry.

The use of the Minimal Model Program has been clarified, as has the Torelli theorem for special elliptic surfaces

Cited by in corpus (1)

• Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces