English

Line and Hyperplane GT-variants

Algebraic Geometry 2025-09-30 v2 K-Theory and Homology Number Theory

Abstract

In this work, we introduce a variant of the Grothendieck-Teichm{\"u}ller group, defined in terms of complements of hyperplane arrangements and pro-\ell two-step nilpotent fundamental groups, and prove that it is isomorphic to the absolute Galois group of \Qbb\Qbb.

Keywords

Cite

@article{arxiv.2104.10504,
  title  = {Line and Hyperplane GT-variants},
  author = {Florian Pop and Adam Topaz},
  journal= {arXiv preprint arXiv:2104.10504},
  year   = {2025}
}

Comments

21 pages; v2: changed title, expository changes

R2 v1 2026-06-24T01:23:54.844Z