Algebraic integrable connections with bounded irregularity
Takuro Mochizuki
TL;DR
This paper investigates the boundedness properties of algebraic flat connections with controlled irregularity and applies these results to families of holonomic D-modules with specific characteristic cycle constraints.
Contribution
It introduces new boundedness results for algebraic flat connections with irregularities and extends these to families of holonomic D-modules with dominated characteristic cycles.
Findings
Boundedness of algebraic flat connections with bounded irregularity.
Boundedness of families of holonomic D-modules with dominated characteristic cycles.
Establishment of criteria linking irregularity bounds to D-module properties.
Abstract
We study the boundedness of families of algebraic flat connections with bounded irregularity. As an application, we study the boundedness of families of holonomic -modules with dominated characteristic cycles.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology