Macaulay2

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 1734 articles , 2 standard articles )

Showing results 1 to 20 of 1734.
Sorted by year (citations)

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  1. Abuaf, Roland: On quartic double fivefolds and the matrix factorizations of exceptional quaternionic representations (2021)
  2. Addington, Nicolas; Wray, Andrew: Twisted Fourier-Mukai partners of Enriques surfaces (2021)
  3. Agostini, Daniele; Barros, Ignacio: Pencils on surfaces with normal crossings and the Kodaira dimension of (\overline\mathcalM_g,n) (2021)
  4. Ansaldi, Katie; Lin, Kuei-Nuan; Shen, Yi-Huang: Generalized Newton complementary duals of monomial ideals (2021)
  5. Arrondo, Enrique; Bernardi, Alessandra; Marques, Pedro Macias; Mourrain, Bernard: Skew-symmetric tensor decomposition (2021)
  6. Asgarli, Shamil; Duan, Lian; Lai, Kuan-Wen: Transverse lines to surfaces over finite fields (2021)
  7. Ballico, Edoardo; Favacchio, Giuseppe; Guardo, Elena; Milazzo, Lorenzo: Steiner systems and configurations of points (2021)
  8. Bela, Erin; Favacchio, Giuseppe; Tran, Nghia: In the shadows of a hypergraph: looking for associated primes of powers of square-free monomial ideals (2021)
  9. Benedetti, Vladimiro; Manivel, Laurent; Tanturri, Fabio: The geometry of the Coble cubic and orbital degeneracy loci (2021)
  10. Brysiewicz, Taylor: Necklaces count polynomial parametric osculants (2021)
  11. Casanellas, Marta; Fernández-Sánchez, Jesús; Garrote-López, Marina: Distance to the stochastic part of phylogenetic varieties (2021)
  12. Çelik, Türkü Özlüm; Jamneshan, Asgar; Montúfar, Guido; Sturmfels, Bernd; Venturello, Lorenzo: Wasserstein distance to independence models (2021)
  13. Chardin, Marc; Cutkosky, Steven Dale; Tran, Quang Hoa: Fibers of rational maps and Jacobian matrices (2021)
  14. Chen, Justin; Vemulapalli, Sameera; Zhang, Leon: Computing unit groups of curves (2021)
  15. Cid-Ruiz, Yairon: Mixed multiplicities and projective degrees of rational maps (2021)
  16. Clarke, Oliver; Mohammadi, Fatemeh: Standard monomial theory and toric degenerations of Schubert varieties from matching field tableaux (2021)
  17. Clarke, Oliver; Mohammadi, Fatemeh: Toric degenerations of flag varieties from matching field tableaux (2021)
  18. De Stefani, Alessandro; Grifo, Eloísa; Núñez-Betancourt, Luis: Local cohomology and Lyubeznik numbers of (F)-pure rings (2021)
  19. De Stefani, Alessandro; Smirnov, Ilya: Decomposition of graded local cohomology tables (2021)
  20. Dochtermann, Anton: Exposed circuits, linear quotients, and chordal clutters (2021)

1 2 3 ... 85 86 87 next


Further publications can be found at: http://www.math.uiuc.edu/Macaulay2/Publications/