t-Structures on the Derived Categories of Holonomic D-Modules and Coherent O-Modules

By Masaki Kashiwara. 2004

58 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5fd1a7b1e6a45c4039ea86bc0c54442418025cd1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. C. Schnell
2. Yukinobu Toda
3. Mihnea Cristian Popa

In Geometry and Topology

1. Mihnea Cristian Popa
2. C. Schnell
3. Yukinobu Toda
4. Emanuele Macrì
5. Arend Bayer
6. P. Stellari
7. Chunyi Li
8. D. Huybrechts

Citations in the corpus

• Curve counting theories via stable objects I. DT/PT correspondence (2009, background): “The category Coh†(X) is one of the hearts of perverse t-structures introduced by Bezrukavnikov [5] and Kashiwara [18].”
• GENERIC VANISHING THEORY VIA MIXED HODGE MODULES (2011, methodology): “One is that the set of objects E ∈ Dbcoh(OX) with codimSuppH i(E) ≥ i for all i forms part of a t-structure (the “dual standard t-structure” in Kashiwara’s terminology); the other is that the same is true for the set of objects with codimSuppHi(E) ≥ 2i for all i.”