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On the codimension-three conjecture

Name: On the codimension-three conjecture
Keywords: Mathematics - Algebraic Geometry, Codimension-three conjecture, microlocal perverse sheaf, Mathematics - Complex Variables, 14F05, 32W25, FOS: Mathematics, regular holonomic modules, Complex Variables (math.CV), 14F05, 32W25

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2010Embargo end date: 01 Jan 2010Publisher:Project EuclidJournal:Proceedings of the Japan Academy, Series A, Mathematical Sciences, volume 86 (issn: 0386-2194,

Authors: Kari Vilonen; Masaki Kashiwara; Masaki Kashiwara;

doi: 10.3792/pjaa.86.154 , 10.48550/arxiv.1007.3558

arXiv: http://arxiv.org/abs/1007.3558

On the codimension-three conjecture

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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.

few small texnical changes

Related Organizations

Seoul National University
Korea (Republic of)
Kyoto University
Japan

Keywords

Mathematics - Algebraic Geometry, Codimension-three conjecture, microlocal perverse sheaf, Mathematics - Complex Variables, 14F05, 32W25, FOS: Mathematics, regular holonomic modules, Complex Variables (math.CV), 14F05, 32W25, Algebraic Geometry (math.AG)

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