Comprehensive Gröbner systems in PBW algebras, Bernstein–Sato ideals and holonomic D-modules

Journal of Symbolic Computation ◽

10.1016/j.jsc.2017.11.010 ◽

2018 ◽

Vol 89 ◽

pp. 146-170 ◽

Author(s):

Katsusuke Nabeshima ◽

Katsuyoshi Ohara ◽

Shinichi Tajima

Keyword(s):

D Modules ◽

Comprehensive Gröbner Systems

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Comprehensive Gröbner Systems in Rings of Differential Operators, Holonomic D-modules and B-functions

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '16 ◽

10.1145/2930889.2930918 ◽

2016 ◽

Author(s):

Katsusuke Nabeshima ◽

Katsuyoshi Ohara ◽

Shinichi Tajima

Keyword(s):

Differential Operators ◽

D Modules ◽

Rings Of Differential Operators ◽

Comprehensive Gröbner Systems

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A Primer of Algebraic D-Modules

10.1017/cbo9780511623653 ◽

1995 ◽

Author(s):

S. C. Coutinho

Keyword(s):

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Holonomic D-Modules with Betti Structures

Mémoires de la Société mathématique de France ◽

10.24033/msmf.448 ◽

2014 ◽

Vol 1 ◽

pp. 1-205

Author(s):

Takuro Mochizuki

Keyword(s):

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Regular Holonomic $D$-modules and Distributions on Complex Manifolds

Complex Analytic Singularities ◽

10.2969/aspm/00810199 ◽

2018 ◽

Author(s):

Masaki Kashiwara

Keyword(s):

Complex Manifolds ◽

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Correction to: Generalized Springer theory for D-modules on a reductive Lie algebra

Selecta Mathematica ◽

10.1007/s00029-021-00684-9 ◽

2021 ◽

Vol 27 (4) ◽

Author(s):

Sam Gunningham

Keyword(s):

Lie Algebra ◽

Reductive Lie Algebra ◽

Springer Theory ◽

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Introduction to D-modules

Algebraic Theory of Differential Equations ◽

10.1017/cbo9780511721564.005 ◽

2010 ◽

pp. 132-155

Author(s):

Anton Leykin

Keyword(s):

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Tempered solutions of D-modules

Regular and Irregular Holonomic D-Modules ◽

10.1017/cbo9781316675625.004 ◽

2016 ◽

pp. 39-43

Author(s):

Masaki Kashiwara ◽

Pierre Schapira

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Mixed Twistor $$\mathcal{D}$$ -Modules

Mixed Twistor D-modules - Lecture Notes in Mathematics ◽

10.1007/978-3-319-10088-3_7 ◽

2015 ◽

pp. 169-194

Author(s):

Takuro Mochizuki

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Semisimplicity of the category of admissible $\mathscr {D}$ -modules

Kyoto Journal of Mathematics ◽

10.1215/21562261-2020-0006 ◽

2020 ◽

Author(s):

Gwyn Bellamy ◽

Magdalena Boos

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Narrow quantum D-modules and quantum Serre duality

Annales de l’institut Fourier ◽

10.5802/aif.3419 ◽

2021 ◽

pp. 1-49

Author(s):

Mark Shoemaker

Keyword(s):

D Modules ◽

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