English

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

Algebraic Geometry 2024-11-27 v2

Abstract

We prove that the period mapping is dominant for elliptic surfaces over an elliptic curve with 12 nodal fibers, and that its degree is larger than 1.

Keywords

Cite

@article{arxiv.2308.04563,
  title  = {Periods of elliptic surfaces with $p_g=q=1$},
  author = {Philip Engel and François Greer and Abigail Ward},
  journal= {arXiv preprint arXiv:2308.04563},
  year   = {2024}
}

Comments

20 pages, 4 figures