Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces

2020/09/08 by N. I. Shepherd‐Barron, Shepherd-Barron, N. I.
Mathematics · Arts and Humanities · #Algebraic Geometry and Number Theory #Advanced Differential Equations and Dynamical Systems #Historical Studies and Socio-cultural Analysis

paper · pdf · doi:10.48550/arxiv.2009.03633

Abstract

We prove a generic Torelli theorem for Jacobian elliptic surfaces, provided that the geometric genus is large compared to the irregularity. The result is effective to the extent that defining equations for the base curve are recovered from the period data.

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