Enhanced specialization and microlocalization

Enhanced ind-sheaves provide a suitable framework for the irregular Riemann–Hilbert correspondence. In this paper, we show how Sato’s specialization and microlocalization functors have a natural enhancement, and discuss some of their properties.

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Bibliographic Details
Published in:Selecta mathematica (Basel, Switzerland) Switzerland), 2021-02, Vol.27 (1), Article 7
Main Authors: D’Agnolo, Andrea, Kashiwara, Masaki
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Sheaves
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Description
Summary:Enhanced ind-sheaves provide a suitable framework for the irregular Riemann–Hilbert correspondence. In this paper, we show how Sato’s specialization and microlocalization functors have a natural enhancement, and discuss some of their properties.
ISSN:1022-1824
1420-9020
DOI:10.1007/s00029-020-00613-2