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 1567 articles , 2 standard articles )

Showing results 1361 to 1380 of 1567.
Sorted by year (citations)

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  1. Güneri, Cem: Artin-Schreier curves and weights of two-dimensional cyclic codes (2004)
  2. Jorgensen, David A.; Şega, Liana M.: Nonvanishing cohomology and classes of Gorenstein rings (2004)
  3. Kühnel, Marco: A note on octic hypersurfaces with many nodes (2004)
  4. Lin, Zhiping; Xu, Li; Wu, Qinghe: Applications of Gröbner bases to signal and image processing: a survey (2004)
  5. Llabrés, M.; Rosselló, F.: A new family of metrics for biopolymer contact structures (2004)
  6. Maclagan, Diane; Smith, Gregory G.: Multigraded Castelnuovo-Mumford regularity (2004)
  7. Mesnager, Sihem: Construction of the integral closure of an affine domain in a finite field extension of its quotient field (2004)
  8. Milowski, R. Alexander: Computing irredundant irreducible decompositions of large scale monomial ideals (2004)
  9. Richert, Benjamin P.: A study of the lex plus powers conjecture. (2004)
  10. Rodríguez-Carbonell, Enric; Kapur, Deepak: An abstract interpretation approach for automatic generation of polynomial invariants (2004)
  11. Swanson, Irena: On the embedded primes of the Mayr-Meyer ideals (2004)
  12. Tamás, Csilla: On the classification of crepant analytically extremal contractions of smooth three-folds (2004)
  13. Tonoli, Fabio: Construction of Calabi-Yau 3-folds in (\mathbbP^6) (2004)
  14. Vinai, Natale Paolo: Arithmetic degree and associated graded modules (2004)
  15. Wijnholt, Martijn: Large volume perspective on branes at singularities (2004)
  16. Aluffi, Paolo: Computing characteristic classes of projective schemes. (2003)
  17. Arnold, Elizabeth A.: Modular algorithms for computing Gröbner bases. (2003)
  18. Baines, Rosemary; Vámos, Peter: An algorithm to compute the set of characteristics of a system of polynomial equations over the integers. (2003)
  19. Behrend, K.; O’Halloran, A.: On the cohomology of stable map spaces (2003)
  20. Castro-Jiménez, Francisco Jesús; Takayama, Nobuki: Singularities of the hypergeometric system associated with a monomial curve (2003)

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