English

An obstruction to lifting to characteristic $0$

Algebraic Geometry 2021-06-17 v1 Number Theory

Abstract

We introduce a new obstruction to lifting smooth proper varieties in characteristic p>0p>0 to characteristic 00. It is based on Grothendieck's specialization homomorphism and the resulting discrete finiteness properties of \'etale fundamental groups.

Keywords

Cite

@article{arxiv.2106.08381,
  title  = {An obstruction to lifting to characteristic $0$},
  author = {Hélène Esnault and Vasudevan Srinivas and Jakob Stix},
  journal= {arXiv preprint arXiv:2106.08381},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-24T03:14:19.346Z