REVIEW 3 cited by
Equivariant D-modules
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
The first part of these notes is devoted to an introduction to algebraic $D$-modules. Several basic notions are introduced. In the second part, $D$-modules with group action are treated. Several important examples in this situation are discussed in details. Particularly, the Harish-Chandra systems for group characters and the Gelfand generalized hypergeometric systems are our main topics.
Forward citations
Cited by 3 Pith papers
-
Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series
For each fake exponent of an A-hypergeometric system, the Hilbert series of an Artinian Stanley-Reisner quotient equals the graded dimension series of the orthogonal complement of the local fake indicial ideal, and un...
-
Hypergeometric $\mathcal D$-modules and exponential sums for reductive groups
Authors define hypergeometric exponential sums and sheaves for reductive groups, introduce hypergeometric D-modules, prove holonomicity and rank bounds, and use Fourier transforms to estimate the sums.
-
Gevrey and formal Nilsson solutions of $A$-hypergeometric systems
For all complex parameters, Gevrey solutions of A-hypergeometric systems along coordinate subspaces embed into formal Nilsson solutions; with a cone condition the spaces are equal and have dimension vol(τ).
Discussion (0). Continue with ORCID to comment.