Galois theory for iterative connections and nonreduced Galois groups

• Verfasst von: Maurischat, Andreas [VerfasserIn]
• Titel: Galois theory for iterative connections and nonreduced Galois groups
• Verf.angabe: Andreas Maurischat
• E-Jahr: 2010
• Jahr: May 25, 2010
• Fussnoten: Gesehen am 30.05.2023
• Titel Quelle: Enthalten in: American Mathematical SocietyTransactions of the American Mathematical Society
• Ort Quelle: Providence, RI : Soc., 1900
• Jahr Quelle: 2010
• Band/Heft Quelle: 362(2010), 10, Seite 5411-5453
• ISSN Quelle: 1088-6850
• DOI: doi:10.1090/S0002-9947-2010-04966-9
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: connections
• Sach-SW: differential Galois theory
• Sach-SW: Galois theory
• Sach-SW: inseparable extensions
• K10plus-PPN: 1846847974

Abstract

This article presents a theory of modules with iterative connection. This theory is a generalisation of the theory of modules with connection in characteristic zero to modules over rings of arbitrary characteristic. We show that these modules with iterative connection (and also the modules with integrable iterative connection) form a Tannakian category, assuming some nice properties for the underlying ring, and we show how this generalises to modules over schemes.