Reduction theory for connections over the formal punctured disc

Abstract

We give a purely algebraic treatment of reduction theory for connections over the formal punctured disc. Our proofs apply to arbitrary connected linear algebraic groups over an algebraically closed field of characteristic 0. We also state and prove some new quantitative results.

45 pages. Comments are welcome!

References in corpus (1)

• Regular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc

Cited by in corpus (1)

• Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves