English

Infinitesimal Torelli for elliptic surfaces revisited

Algebraic Geometry 2023-10-10 v1

Abstract

In this article we give a new proof for the infinitesimal Torelli theorem for minimal elliptic surfaces without multiple fibers with Euler number at least 24 for nonconstant jj-invariant. In the case of constant jj-invariant we find a new proof in the case of Euler number at least 72. We also discuss several new counterexamples.

Cite

@article{arxiv.2007.10207,
  title  = {Infinitesimal Torelli for elliptic surfaces revisited},
  author = {Remke Kloosterman},
  journal= {arXiv preprint arXiv:2007.10207},
  year   = {2023}
}
R2 v1 2026-06-23T17:15:05.236Z