Riemann–Hilbert correspondence for D-modules
GPTKB entity
Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical correspondence
|
| gptkbp:appliesTo |
complex algebraic varieties
analytic manifolds |
| gptkbp:categoryEquivalence |
regular holonomic D-modules and perverse sheaves
|
| gptkbp:developedBy |
gptkb:Masaki_Kashiwara
gptkb:Zoghman_Mebkhout |
| gptkbp:establishesEquivalenceBetween |
category of perverse sheaves
category of regular holonomic D-modules |
| gptkbp:field |
gptkb:algebraic_geometry
partial differential equations representation theory |
| gptkbp:generalizes |
classical Riemann–Hilbert problem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riemann–Hilbert correspondence for D-modules
|
| gptkbp:importantFor |
microlocal analysis
theory of linear differential equations |
| gptkbp:introducedIn |
1970s
|
| gptkbp:namedAfter |
gptkb:David_Hilbert
gptkb:Bernhard_Riemann |
| gptkbp:relatedTo |
gptkb:D-modules
local systems constructible sheaves regular holonomic D-modules |
| gptkbp:usedIn |
gptkb:Hodge_theory
geometric representation theory |
| gptkbp:bfsParent |
gptkb:Masaki_Kashiwara
|
| gptkbp:bfsLayer |
7
|