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 1353 articles , 2 standard articles )

Showing results 21 to 40 of 1353.
Sorted by year (citations)

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  1. Cunha, Rainelly; Ramos, Zaqueu; Simis, Aron: Symmetry preserving degenerations of the generic symmetric matrix (2019)
  2. Dao, Hailong; Montaño, Jonathan: Length of local cohomology of powers of ideals (2019)
  3. De Loera, Jesús A.; Petrović, Sonja; Silverstein, Lily; Stasi, Despina; Wilburne, Dane: Random monomial ideals (2019)
  4. De Negri, Emanuela; Sbarra, Enrico: On jet schemes of Pfaffian ideals (2019)
  5. DiPasquale, Michael; Francisco, Christopher A.; Mermin, Jeffrey; Schweig, Jay; Sosa, Gabriel: The Rees algebra of a two-Borel ideal is Koszul (2019)
  6. Dubinsky, Manuel; Massri, César; Molinuevo, Ariel; Quallbrunn, Federico: DiffAlg: a differential algebra package (2019)
  7. Eisenbud, David; Schreyer, Frank-Olaf: Equations and syzygies of (K3) carpets and unions of scrolls (2019)
  8. Erey, Nursel: Powers of ideals associated to ((C_4,2K_2))-free graphs (2019)
  9. Erman, Daniel; Sam, Steven V.; Snowden, Andrew: Cubics in 10 variables vs. cubics in 1000 variables: uniformity phenomena for bounded degree polynomials (2019)
  10. Faenzi, Daniele; Polizzi, Francesco; Vallès, Jean: Triple planes with (p_g=q=0) (2019)
  11. Fajardo, William: A computational Maple library for skew PBW extensions (2019)
  12. Galetto, Federico; Geramita, Anthony V.; Shin, Yong-Su; Van Tuyl, Adam: The symbolic defect of an ideal (2019)
  13. Gallardo, Patricio: On the GIT quotient space of quintic surfaces (2019)
  14. Hibi, Takayuki; Matsuda, Kazunori; Van Tuyl, Adam: Regularity and (h)-polynomials of edge ideals (2019)
  15. Lella, Paolo: Strongly stable ideals and Hilbert polynomials (2019)
  16. Lundqvist, Samuel; Nicklasson, Lisa: On generic principal ideals in the exterior algebra (2019)
  17. Lundqvist, Samuel; Nicklasson, Lisa: On the structure of monomial complete intersections in positive characteristic (2019)
  18. Lundqvist, Samuel; Oneto, Alessandro; Reznick, Bruce; Shapiro, Boris: On generic and maximal (k)-ranks of binary forms (2019)
  19. Macauley, Matthew; Jenkins, Andy; Davies, Robin: The regulation of gene expression by operons and the local modeling framework (2019)
  20. Manjunath, Madhusudan; Smith, Ben: Commutative algebra of generalised Frobenius numbers (2019)

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