D-modules

D-MODULES FOR MACAULAY 2: D-modules for Macaulay 2 is a collection of the most recent algorithms that deal with various computational aspects of the theory of D-modules. This paper provides a brief guide, which gives examples of using the main functions of this package, as well as an overview of the core algorithms for D-modules and their applications.

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References in zbMATH (referenced in 21 articles )

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  1. Daniel J. Hernández, Karl Schwede, Pedro Teixeira, Emily E. Witt: The FrobeniusThresholds package for Macaulay2 (2019) arXiv
  2. Robertz, Daniel: Recent progress in an algebraic analysis approach to linear systems (2015)
  3. Quadrat, A.; Robertz, D.: A constructive study of the module structure of rings of partial differential operators. (2014)
  4. Àlvarez Montaner, Josep; Fernández-Ramos, Oscar: Local cohomology using Macaulay2 (2013)
  5. Cluzeau, Thomas; Quadrat, Alban: Serre’s reduction of linear partial differential systems with holonomic adjoints (2012)
  6. Vidal, Samuel; Petitot, Michel; Boulier, François; Lemaire, François; Kuttler, Céline: Models of stochastic gene expression and Weyl algebra (2012)
  7. Andres, Daniel; Brickenstein, Michael; Levandovskyy, Viktor; Martín-Morales, Jorge; Schönemann, Hans: Constructive (D)-module theory with \textttSingular (2010)
  8. Berkesch, Christine; Leykin, Anton: Algorithms for Bernstein-Sato polynomials and multiplier ideals (2010)
  9. Andres, Daniel; Levandovskyy, Viktor; Morales, Jorge Martín: Principal intersection and Bernstein-Sato polynomial of an affine variety (2009)
  10. Castro-Jiménez, Francisco-Jesús; Takayama, Nobuki: The computation of the logarithmic cohomology for plane curves (2009)
  11. Montaner, J. Àlvarez; Castro-Jiménez, F. J.; Ucha, J. M.: Localization at hyperplane arrangements: combinatorics and (\mathcalD)-modules (2007)
  12. Calderón Moreno, F. J.; Narváez Macarro, L.: Algebraic computation of some intersection D-modules (2006)
  13. Montaner, Josep Àlvarez; Leykin, Anton: Computing the support of local cohomology modules (2006)
  14. Leykin, Anton: Algorithmic proofs of two theorems of Stafford. (2005)
  15. Castro-Jiménez, F. J.; Ucha-Enríquez, J. M.: Testing the logarithmic comparison theorem for free divisors (2004)
  16. Castro-Jiménez, Francisco J.; Granger, Michel: Explicit calculations in rings of differential operators (2004)
  17. Castro-Jiménez, Francisco Jesús; Takayama, Nobuki: Singularities of the hypergeometric system associated with a monomial curve (2003)
  18. Leykin, Anton: Computing local cohomology in MACAULAY 2 (2002)
  19. Tsai, Harrison: Algorithms for associated primes, Weyl closure, and local cohomology of (D)-modules (2002)
  20. Tsai, Harrison; Walther, Uli: Computing homomorphisms between holonomic (D)-modules (2001)

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