Microdifferential systems and the codimension-three conjecture

• 成果类型: Article
• 署名作者: Kashiwara, Masaki; Vilonen, Kari
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.2.4
• 发表日期: 2014
• 页码: 573-620
• 关键词: coherent analytic sheaves; perverse sheaves; MODULES

摘要

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.