On the codimension-three conjecture
Masaki Kashiwara, Kari Vilonen
TL;DR
This paper sketches a proof of the codimension-three conjecture, asserting that regular holonomic microdifferential systems extend beyond certain codimension-three subsets, advancing understanding of their extension properties.
Contribution
It provides a proof sketch for the codimension-three conjecture specifically for microdifferential holonomic systems with regular singularities.
Findings
Confirmed the extension property for regular holonomic E-modules beyond codimension-three subsets.
Extended the theoretical understanding of microdifferential systems with regular singularities.
Abstract
In this note we sketch a proof of a fundamental conjecture, the codimension-three conjecture, for microdifferential holonomic systems with regular singularities. It states that any regular holonomic E-module extends beyond a codimension-three analytic subset.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds · Advanced Topics in Algebra