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

• Nguyen Dai Duong ^[1] ; Phung Ho Hai ^[1] ; João Pedro P. Dos Santos ^[2]
  1. [1] Vietnam Academy of Science and Technology

     Vietnam Academy of Science and Technology

     Vietnam

     
  2. [2] Institut de Mathématiques de Jessieu Paris, France
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 18, Nº 3, 2018, págs. 977-1032
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

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