English

Algebraization of a Cartier divisor

Commutative Algebra 2012-10-17 v1

Abstract

We extend to pairs classical results of R. Elkik on lifting of homomorphisms and algebraization. In particular, we establish algebraization of an affine rig-smooth formal variety with a rig-smooth closed subvariety. This solves affirmatively a problem raised by M. Temkin and has applications to desingularization theory.

Keywords

Cite

@article{arxiv.1210.4176,
  title  = {Algebraization of a Cartier divisor},
  author = {Dmitry Trushin},
  journal= {arXiv preprint arXiv:1210.4176},
  year   = {2012}
}

Comments

52 pages

R2 v1 2026-06-21T22:22:10.270Z