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 1904 articles , 2 standard articles )

Showing results 1 to 20 of 1904.
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  1. Almousa, Ayah; VandeBogert, Keller: Determinantal facet ideals for smaller minors (2022)
  2. Altafi, Nasrin: Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property (2022)
  3. Améndola, Carlos; Pham, Viet Son: Autocovariance varieties of moving average random fields (2022)
  4. Angelini, Elena; Bocci, Cristiano; Chiantini, Luca: Catalecticant intersections and confinement of decompositions of forms (2022)
  5. Angelini, Elena; Chiantini, Luca: Minimality and uniqueness for decompositions of specific ternary forms (2022)
  6. Banerjee, Arindam; Chakraborty, Bidwan; Das, Kanoy Kumar; Mandal, Mousumi; Selvaraja, S.: Regularity of powers of squarefree monomial ideals (2022)
  7. Biermann, Jennifer; Kara, Selvi; Lin, Kuei-Nuan; O’Keefe, Augustine: Toric ideals of weighted oriented graphs (2022)
  8. Bisui, Sankhaneel; Grifo, Eloísa; Hà, Huy Tài; Nguyễn, Thái Thành: Demailly’s conjecture and the containment problem (2022)
  9. Böhning, Christian; von Bothmer, Hans-Christian Graf; van Garrel, Michel: Prelog Chow groups of self-products of degenerations of cubic threefolds (2022)
  10. Bopp, Christian; Hoff, Michael: Moduli of lattice polarized (K3) surfaces via relative canonical resolutions (2022)
  11. Borisov, Lev; Buch, Anders; Fatighenti, Enrico: A journey from the octonionic (\mathbbP^2) to a fake (\mathbbP^2) (2022)
  12. Bruce, Juliette; Corey, Daniel; Erman, Daniel; Goldstein, Steve; Laudone, Robert P.; Yang, Jay: Syzygies of (\mathbbP^1 \times\mathbbP^1): data and conjectures (2022)
  13. Chardin, Marc; Ghosh, Dipankar; Nemati, Navid: The (ir)regularity of Tor and Ext (2022)
  14. Chen, Justin; Härkönen, Marc; Krone, Robert; Leykin, Anton: Noetherian operators and primary decomposition (2022)
  15. Cifuentes, Diego; Ranestad, Kristian; Sturmfels, Bernd; Weinstein, Madeleine: Voronoi cells of varieties (2022)
  16. Colarte-Gómez, Liena; Costa, Laura; Marchesi, Simone; Miró-Roig, Rosa M.; Salat-Moltó, Marti: Hypertetrahedral arrangements (2022)
  17. Colarte-Gómez, Liena; Miró-Roig, Rosa M.: The canonical module of GT-varieties and the normal bundle of RL-varieties (2022)
  18. Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele: Rank and border rank of Kronecker powers of tensors and Strassen’s laser method (2022)
  19. D’Anna, Marco; Jafari, Raheleh; Strazzanti, Francesco: Simplicial affine semigroups with monomial minimal reduction ideals (2022)
  20. Dao, Hailong; De Stefani, Alessandro: On monomial Golod ideals (2022)

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