English

Packets in Grothendieck's Section Conjecture

Number Theory 2019-05-20 v2 Algebraic Geometry

Abstract

Using the identification of sections of the Galois group of the ground field into the arithmetic fundamental group with neutral fiber functors of the category of finite connections, we define the "packets" in Grothendieck's section conjecture and show their properties predicted by him.

Keywords

Cite

@article{arxiv.math/0703877,
  title  = {Packets in Grothendieck's Section Conjecture},
  author = {Hélène Esnault and Phùng Hô Hai},
  journal= {arXiv preprint arXiv:math/0703877},
  year   = {2019}
}

Comments

22 pages (no changes on the mathematical content but the exposition has been shortened)