English

A Torelli Theorem for Higher-Dimensional Function Fields

Algebraic Geometry 2021-04-23 v3 K-Theory and Homology

Abstract

We prove a Torelli-like theorem for higher-dimensional function fields, from the point of view of "almost-abelian" anabelian geometry.

Keywords

Cite

@article{arxiv.1705.01084,
  title  = {A Torelli Theorem for Higher-Dimensional Function Fields},
  author = {Adam Topaz},
  journal= {arXiv preprint arXiv:1705.01084},
  year   = {2021}
}

Comments

Version 3: 28 pages. This is a significant revision, making the whole paper much more streamlined. The ell-adic case from the previous versions was removed from this version, and will be handled separately in future work