On the codimension-three conjecture

M. J.A.Masaki Kashiwara; Kari Vilonen

doi:10.3792/pjaa.86.154

On the codimension-three conjecture

M. J.A.Masaki Kashiwara^*, Kari Vilonen

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The codimension-three conjecture states that any regular holonomic module extends uniquely beyond an analytic subset with codimension equal to or larger than three. We give a sketch of a proof of this conjecture.

Original language	English (US)
Pages (from-to)	154-158
Number of pages	5
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	86
Issue number	9
DOIs	https://doi.org/10.3792/pjaa.86.154
State	Published - Nov 2010

Keywords

Codimension-three conjecture
Microlocal perverse sheaf
Regular holonomic modules

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.86.154

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title = "On the codimension-three conjecture",

abstract = "The codimension-three conjecture states that any regular holonomic module extends uniquely beyond an analytic subset with codimension equal to or larger than three. We give a sketch of a proof of this conjecture.",

keywords = "Codimension-three conjecture, Microlocal perverse sheaf, Regular holonomic modules",

author = "Kashiwara, {M. J.A.Masaki} and Kari Vilonen",

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language = "English (US)",

volume = "86",

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AU - Kashiwara, M. J.A.Masaki

AU - Vilonen, Kari

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N2 - The codimension-three conjecture states that any regular holonomic module extends uniquely beyond an analytic subset with codimension equal to or larger than three. We give a sketch of a proof of this conjecture.

AB - The codimension-three conjecture states that any regular holonomic module extends uniquely beyond an analytic subset with codimension equal to or larger than three. We give a sketch of a proof of this conjecture.

KW - Codimension-three conjecture

KW - Microlocal perverse sheaf

KW - Regular holonomic modules

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JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

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On the codimension-three conjecture

Abstract

Keywords

ASJC Scopus subject areas

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