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.

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

References in corpus (2)

• The non-existence of stable Schottky forms
• Weyl group covers for Brieskorn's resolutions in all characteristics and the integral cohomology of $G/P$

Cited by in corpus (1)

• Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces