Reduction theory for connections over the formal punctured disc
Andres Fernandez Herrero
TL;DR
This paper develops an algebraic framework for reduction theory of connections over the formal punctured disc, applicable to any connected linear algebraic group over an algebraically closed field of characteristic zero, including new quantitative insights.
Contribution
It provides a purely algebraic approach to reduction theory for connections, extending applicability to all connected linear algebraic groups and introducing new quantitative results.
Findings
Algebraic treatment of reduction theory
Applicability to all connected linear algebraic groups
New quantitative results on connections
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.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology