CoCoA

CoCoA is a system for Computations in Commutative Algebra. It is able to perform simple and sophisticated operations on multivaraiate polynomials and on various data related to them (ideals, modules, matrices, rational functions). For example, it can readily compute Grobner bases, syzygies and minimal free resolution, intersection, division, the radical of an ideal, the ideal of zero-dimensional schemes, Poincare’ series and Hilbert functions, factorization of polynomials, toric ideals. The capabilities of CoCoA and the flexibility of its use are further enhanced by the dedicated high-level programming language. For convenience, the system offers a textual interface, an Emacs mode, and a graphical user interface common to most platforms. Computer algebra system (CAS).

This software is also referenced in ORMS.


References in zbMATH (referenced in 537 articles , 5 standard articles )

Showing results 21 to 40 of 537.
Sorted by year (citations)

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  1. Dimca, Alexandru: Hyperplane arrangements. An introduction (2017)
  2. Dimca, Alexandru; Sticlaru, Gabriel: A computational approach to Milnor fiber cohomology (2017)
  3. Dimca, Alexandru; Sticlaru, Gabriel: Mixed multiplicities, Hilbert polynomials and homaloidal surfaces (2017)
  4. Eghbali, M.; Shirmohammadi, N.: On cohomological dimension and depth under linkage (2017)
  5. Friedl, Stefan: An elementary proof of the group law for elliptic curves (2017)
  6. Gu, Yan: Regularity of powers of edge ideals of some graphs (2017)
  7. Nanduri, Ramakrishna: On bigraded regularities of Rees algebra (2017)
  8. Norton, Graham H.: On the annihilator ideal of an inverse form (2017)
  9. Pour, Ali Akbar Yazdan: Candidates for nonzero Betti numbers of monomial ideals (2017)
  10. Shirmohammadi, N.: A note on the multiplicity and final Betti number of a level algebra (2017)
  11. Torrente, Maria-Laura; Beltrametti, Mauro C.; Sommese, Andrew J.: Perturbation results on the zero-locus of a polynomial (2017)
  12. Ábrahám, Erika; Abbott, John; Becker, Bernd; Bigatti, Anna M.; Brain, Martin; Buchberger, Bruno; Cimatti, Alessandro; Davenport, James H.; England, Matthew; Fontaine, Pascal; Forrest, Stephen; Griggio, Alberto; Kroening, Daniel; Seiler, Werner M.; Sturm, Thomas: \ssfSC$^2$: satisfiability checking meets symbolic computation. (Project paper) (2016)
  13. Barile, Margherita; Macchia, Antonio: The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles (2016)
  14. Bernardi, A.; Gimigliano, A.; Idà, M.: On parameterizations of plane rational curves and their syzygies (2016)
  15. Bertone, Cristina; Cioffi, Francesca; Guida, Margherita; Roggero, Margherita: The scheme of liftings and applications (2016)
  16. Braun, Gábor; Pokutta, Sebastian: A polyhedral characterization of border bases (2016)
  17. Brinkmann, Daniel; Kaid, Almar: Rank-2 Syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions (2016)
  18. Catalisano, Maria Virginia; Geramita, Anthony V.; Gimigliano, Alessandro; Shin, Yong-Su: The secant line variety to the varieties of reducible plane curves (2016)
  19. Charalambous, Hara; Thoma, Apostolos; Vladoiu, Marius: Binomial fibers and indispensable binomials (2016)
  20. Crupi, Marilena: Extremal Betti numbers of graded modules (2016)

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Further publications can be found at: http://cocoa.dima.unige.it/research/publications.html