Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces

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.

The basic plumbing construction has been replaced by one that is more powerful. Two typos have been corrected and some references added

Cited by in corpus (1)

• Periods of elliptic surfaces with $p_g=q=1$