English

Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces

Algebraic Geometry 2023-03-24 v6

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.

Keywords

Cite

@article{arxiv.2009.03633,
  title  = {Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces},
  author = {N. I. Shepherd-Barron},
  journal= {arXiv preprint arXiv:2009.03633},
  year   = {2023}
}

Comments

The basic plumbing construction has been replaced by one that is more powerful.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

R2 v1 2026-06-23T18:23:11.053Z