Geodesic
Microdifferential systems and the codimension-three conjecture
Masaki Kashiwara1 ; Kari Vilonen2
1Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan and<br/>Seoul National University, Seoul, Korea
2Northwestern University, Evanston, IL and<br/> Helsinki University, Helsinki, Finland
Annals of mathematics, Tome 180 (2014) no. 2, pp. 573-620
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In this paper we give a proof of a fundamental conjecture, the codimension-three conjecture, for microdifferential holonomic systems. The conjecture states that any (regular) holonomic module extends uniquely beyond an analytic subset that is at least of codimension three in its support. Our result can also be interpreted from a topological point of view as a statement about microlocal perverse sheaves. However, our proof is entirely in the context of microdifferential holonomic systems.

DOI : 10.4007/annals.2014.180.2.4

Masaki Kashiwara  1   ; Kari Vilonen  2

1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan and<br/>Seoul National University, Seoul, Korea
2 Northwestern University, Evanston, IL and<br/> Helsinki University, Helsinki, Finland 
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Masaki Kashiwara; Kari Vilonen. Microdifferential systems and the codimension-three conjecture. Annals of mathematics, Tome 180 (2014) no. 2, pp. 573-620. doi: 10.4007/annals.2014.180.2.4

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