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 )

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  1. Bayer, Dave; Stillman, Mike: Computation of Hilbert functions (1992)
  2. Eisenbud, David; Huneke, Craig; Vasconcelos, Wolmer: Direct methods for primary decomposition (1992)
  3. Rao, A. P.: Conormal bundles of determinantal curves (1992)
  4. Bruns, Winfried: Algebras defined by powers of determinantal idelas (1991)
  5. Giovini, Alessandro; Mora, Teo; Niesi, Gianfranco; Robbiano, Lorenzo; Traverso, Carlo: “One sugar cube, please” or selection strategies in the Buchberger algorithm (1991)
  6. Herzog, Jürgen; Simis, Aron; Vasconcelos, Wolmer V.: Arithmetic of normal Rees algebras (1991)
  7. Le Tuan Hoa; Stückrad, Jürgen; Vogel, Wolfgang: Towards a structure theory for projective varieties of degree = codimension + 2 (1991)
  8. Sturmfels, Bernd; White, Neil: Computing combinatorial decompositions of rings (1991)
  9. Decker, W.; Narasimhan, M. S.; Schreyer, F.-O.: Rank 2 vector bundles on (\mathbbP_ 4) with (c_ 1) odd and contact curves (1990)
  10. Bolondi, Giorgio; Mirò-Roig, Rosa Maria: Deformations of arithmetically Cohen-Macaulay subvarieties of (\mathbbP^ n) (1989)
  11. Garnier, C.; Rideau, P.; Papegay, Y.: Modelisation dynamique litterale (1989)
  12. Roch, Jean-Louis; Senechaud, Pascale; Siebert-Roch, Françoise; Villard, Gilles: Computer algebra on MIMD machine (1989)
  13. Eisenbud, David; Harris, Joe: Vector spaces of matrices of low rank (1988)

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