English

On the structure of affine flat group schemes over discrete valuation rings

Algebraic Geometry 2019-05-20 v2

Abstract

We study affine group schemes over a discrete valuation ring RR using two techniques: Neron blowups and Tannakian categories. We employ the theory developed to define and study differential Galois groups of D\mathcal D-modules on a scheme over a RR. This throws light on how differential Galois groups of families degenerate.

Keywords

Cite

@article{arxiv.1701.06518,
  title  = {On the structure of affine flat group schemes over discrete valuation rings},
  author = {Nguyen Dai Duong and Phung Ho Hai and João Pedro P. dos Santos},
  journal= {arXiv preprint arXiv:1701.06518},
  year   = {2019}
}

Comments

46 pages, final version, accepted for publication in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze