English

Greenberg algebras and ramified Witt vectors

Algebraic Geometry 2020-03-04 v2 Number Theory

Abstract

Let O be a complete discrete valuation ring of mixed characteristic and with finite residue field k. We study a natural morphism between the Greenberg algebra of O and the special fiber of the scheme of ramified Witt vectors over O. It is a universal homeomorphism with pro-infinitesimal kernel that can be explicitly described in some cases.

Keywords

Cite

@article{arxiv.1805.08049,
  title  = {Greenberg algebras and ramified Witt vectors},
  author = {Alessandra Bertapelle and Maurizio Candilera},
  journal= {arXiv preprint arXiv:1805.08049},
  year   = {2020}
}

Comments

We improved some results. 19 pages