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 1963 articles , 2 standard articles )

Showing results 1 to 20 of 1963.
Sorted by year (citations)

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  1. Almousa, Ayah; VandeBogert, Keller: Determinantal facet ideals for smaller minors (2022)
  2. Altafi, Nasrin: Jordan types with small parts for Artinian Gorenstein algebras of codimension three (2022)
  3. Altafi, Nasrin: Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property (2022)
  4. Amata, Luca; Crupi, Marilena; Ficarra, Antonino: Projective dimension and Castelnuovo-Mumford regularity of (t)-spread ideals (2022)
  5. Amata, Luca; Ficarra, Antonino; Crupi, Marilena: A numerical characterization of the extremal Betti numbers of (t)-spread strongly stable ideals (2022)
  6. Améndola, Carlos; Pham, Viet Son: Autocovariance varieties of moving average random fields (2022)
  7. Angelini, Elena; Bocci, Cristiano; Chiantini, Luca: Catalecticant intersections and confinement of decompositions of forms (2022)
  8. Angelini, Elena; Chiantini, Luca: Minimality and uniqueness for decompositions of specific ternary forms (2022)
  9. Awada, Hanine; Bolognesi, Michele; Staglianò, Giovanni: Birational geometry of some universal families of (n)-pointed Fano fourfolds (2022)
  10. Banerjee, Arindam; Chakraborty, Bidwan; Das, Kanoy Kumar; Mandal, Mousumi; Selvaraja, S.: Regularity of powers of squarefree monomial ideals (2022)
  11. Biermann, Jennifer; Kara, Selvi; Lin, Kuei-Nuan; O’Keefe, Augustine: Toric ideals of weighted oriented graphs (2022)
  12. Bisui, Sankhaneel; Grifo, Eloísa; Hà, Huy Tài; Nguyễn, Thái Thành: Demailly’s conjecture and the containment problem (2022)
  13. Bisui, Sankhaneel; Grifo, Eloísa; Hà, Huy Tài; Thái Thành Nguyễn: Chudnovsky’s conjecture and the stable Harbourne-Huneke containment (2022)
  14. Bivià-Ausina, Carles; Montaño, Jonathan: Analytic spread and integral closure of integrally decomposable modules (2022)
  15. Boege, Tobias: Gaussoids are two-antecedental approximations of Gaussian conditional independence structures (2022)
  16. Böhning, Christian; von Bothmer, Hans-Christian Graf; van Garrel, Michel: Prelog Chow groups of self-products of degenerations of cubic threefolds (2022)
  17. Bolognini, Davide; Macchia, Antonio; Strazzanti, Francesco: Cohen-Macaulay binomial edge ideals and accessible graphs (2022)
  18. Bolognini, Davide; Macchia, Antonio; Strazzanti, Francesco; Welker, Volkmar: Powers of monomial ideals with characteristic-dependent Betti numbers (2022)
  19. Bopp, Christian; Hoff, Michael: Moduli of lattice polarized (K3) surfaces via relative canonical resolutions (2022)
  20. Boralevi, Ada; Faenzi, Daniele; Lella, Paolo: A construction of equivariant bundles on the space of symmetric forms (2022)

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