Irregular hypergeometric D-modules

A. Grothendieck. Cohomologie des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux

1962

Earlier work this paper cites.

Beilinson, A. A., Bernstein, J. and Deligne, P. Faisceaux pervers

1982

Earlier work this paper cites.

Laurent, Y. Calcul d’indices et irrégularité pour les systèmes holonomes

1985

Earlier work this paper cites.

Mebkhout, Z. Sur le théorème de semi-continuité des équations différentielles

1985

Earlier work this paper cites.

I. M. Gel’fand, M. I. Graev, A. V. Zelevinsky, Holonomic systems of equations and series of hypergeometric type

1987

Earlier work this paper cites.

Laurent, Y. Polygône de Newton et b b -fonctions pour les modules microdifférentiels

1987

Earlier work this paper cites.

I.M. Gel’fand, A.V. Zelevinsky, M.M. Kapranov, Hypergeometric functions and toral manifolds

1989

Earlier work this paper cites.

Mebkhout, Z. Le théorème de positivité de l’irrégularité pour les 𝒟 X {\mathcal{D}}_{X} -modules

1990

Earlier work this paper cites.

Björk, J. E. Analytic 𝒟 {\mathcal{D}} -modules and applications

1993

Cited alongside, same era.

Adolphson, A. A-hypergeometric functions and rings generated by monomials

1994

Cited alongside, same era.

Sturmfels, B. Gröbner bases and convex polytopes

1995

Cited alongside, same era.

Hotta, R. Equivariant 𝒟 {\mathcal{D}} -modules

1998

Cited alongside, same era.

Laurent, Y., Mebkhout, Z. Pentes algébriques et pentes analytiques d’un 𝒟 {\mathcal{D}} -module

1999

Cited alongside, same era.

Saito, M., Sturmfels, B., Takayama, N. Gröbner Deformations of Hypergeometric Differential Equations

2000

Cited alongside, same era.

Hartillo, M. I. Hypergeometric slopes of codimension 1

2003

Later among the works it cites.

Hartillo, M. I. Irregular hypergeometric sistems associated with a singular monomial curve

2004

Later among the works it cites.

Mebkhout, Z. Le théorème de positivité, le théorème de comparaison et le théorème d’existence de Rieman

2004

Later among the works it cites.

Matusevich, L. F., Miller, E., Walther, U. Homological methods for hypergeometric families

2005

Later among the works it cites.

Passare, M., Sadykov, T., Tsikh, A. Singularities of hypergeometric functions in several variables

2005

Later among the works it cites.

Schulze, M., Walther, U. Irregularity of hypergeometric systems via slopes along coordinate subspaces

2008