Macaulay2 is a software system devoted to supporting research in algebraic geometry and commutative algebra, whose creation has been funded by the National Science Foundation since 1992. Macaulay2 includes core algorithms for computing Gröbner bases and graded or multi-graded free resolutions of modules over quotient rings of graded or multi-graded polynomial rings with a monomial ordering. The core algorithms are accessible through a versatile high level interpreted user language with a powerful debugger supporting the creation of new classes of mathematical objects and the installation of methods for computing specifically with them. Macaulay2 can compute Betti numbers, Ext, cohomology of coherent sheaves on projective varieties, primary decomposition of ideals, integral closure of rings, and more. Computer algebra system (CAS).

This software is also referenced in ORMS.

References in zbMATH (referenced in 1692 articles , 2 standard articles )

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  1. Arrondo, Enrique; Bernardi, Alessandra; Marques, Pedro Macias; Mourrain, Bernard: Skew-symmetric tensor decomposition (2021)
  2. Ballico, Edoardo; Favacchio, Giuseppe; Guardo, Elena; Milazzo, Lorenzo: Steiner systems and configurations of points (2021)
  3. Benedetti, Vladimiro; Manivel, Laurent; Tanturri, Fabio: The geometry of the Coble cubic and orbital degeneracy loci (2021)
  4. Brysiewicz, Taylor: Necklaces count polynomial parametric osculants (2021)
  5. Chardin, Marc; Cutkosky, Steven Dale; Tran, Quang Hoa: Fibers of rational maps and Jacobian matrices (2021)
  6. Cid-Ruiz, Yairon: Mixed multiplicities and projective degrees of rational maps (2021)
  7. De Stefani, Alessandro; Grifo, Eloísa; Núñez-Betancourt, Luis: Local cohomology and Lyubeznik numbers of (F)-pure rings (2021)
  8. De Stefani, Alessandro; Smirnov, Ilya: Decomposition of graded local cohomology tables (2021)
  9. Dochtermann, Anton: Exposed circuits, linear quotients, and chordal clutters (2021)
  10. Duarte, Eliana; Marigliano, Orlando; Sturmfels, Bernd: Discrete statistical models with rational maximum likelihood estimator (2021)
  11. Dufresne, Emilie; Harrington, Heather A.; Hauenstein, Jonathan D.; Kevrekidis, Panayotis G.; Tripoli, Paolo: On some configurations of oppositely charged trapped vortices in the plane (2021)
  12. Gao, Jiyang; Li, Yutong; Loper, Michael C.; Mattoo, Amal: Virtual complete intersections in (\mathbbP^1\times\mathbbP^1) (2021)
  13. Ghezzi, L.; Goto, S.; Hong, J.; Hutson, H. L.; Vasconcelos, W. V.: The bi-canonical degree of a Cohen-Macaulay ring (2021)
  14. Iarrobino, Anthony; Macias Marques, Pedro: Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra (2021)
  15. Jaramillo, Delio; Vaz Pinto, Maria; Villarreal, Rafael H.: Evaluation codes and their basic parameters (2021)
  16. Jaramillo, Delio; Villarreal, Rafael H.: The (v)-number of edge ideals (2021)
  17. Kinser, Ryan; Rajchgot, Jenna: Type (D) quiver representation varieties, double Grassmannians, and symmetric varieties (2021)
  18. Kohn, Kathlén: Coisotropic hypersurfaces in Grassmannians (2021)
  19. Kustin, Andrew R.; Vraciu, Adela: Totally reflexive modules over rings that are close to Gorenstein (2021)
  20. Mantero, Paolo; Mastroeni, Matthew: Betti numbers of Koszul algebras defined by four quadrics (2021)

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