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 585 articles , 5 standard articles )

Showing results 1 to 20 of 585.
Sorted by year (citations)

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  1. Amata, Luca; Crupi, Marilena: Hilbert functions of graded modules over an exterior algebra: an algorithmic approach (2020)
  2. Dana-Picard, Thierry: An automated study of isoptic curves of an astroid (2020)
  3. Abdi Makvand, Mohsen; Mousivand, Amir: Betti numbers of some circulant graphs. (2019)
  4. Amata, Luca; Crupi, Marilena: Computation of graded ideals with given extremal Betti numbers in a polynomial ring (2019)
  5. Bertone, Cristina; Cioffi, Francesca; Franco, Davide: Functors of liftings of projective schemes (2019)
  6. Bigatti, Anna; Palezzato, Elisa; Torielli, Michele: Extremal behavior in sectional matrices (2019)
  7. Blažek, Jiří; Pech, Pavel: On one locus in the plane (2019)
  8. Blažek, Jiří; Pech, Pavel: Locus computation in dynamic geometry environment (2019)
  9. Bruns, Winfried; Ichim, Bogdan; Söger, Christof: Computations of volumes and Ehrhart series in four candidates elections (2019)
  10. Catalisano, M. V.; Geramita, A. V.; Gimigliano, A.; Harbourne, B.; Migliore, J.; Nagel, U.; Shin, Y. S.: Secant varieties of the varieties of reducible hypersurfaces in (\mathbbP^n) (2019)
  11. Conca, Aldo; Nguyen, Hop D.; Vu, Thanh: Products of ideals of linear forms in quadric hypersurfaces (2019)
  12. Dana-Picard, Thierry: Automated study of a regular trifolium (2019)
  13. De Negri, Emanuela; Sbarra, Enrico: On jet schemes of Pfaffian ideals (2019)
  14. Favacchio, Giuseppe; Guardo, Elena; Picone, Beatrice: Special arrangements of lines: codimension 2 ACM varieties in (\mathbbP^1 \times\mathbbP^1 \times\mathbbP^1) (2019)
  15. Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc: The Dedekind different of a Cayley-Bacharach scheme (2019)
  16. Lichtblau, Daniel: Approximate polynomial GCD by approximate syzygies (2019)
  17. Michael Lesnick, Matthew Wright: Computing Minimal Presentations and Betti Numbers of 2-Parameter Persistent Homology (2019) arXiv
  18. Minh, Nguyên Công; Terai, Naoki; Thuy, Phan Thi: Level property of ordinary and symbolic powers of Stanley-Reisner ideals (2019)
  19. Palezzato, Elisa; Torielli, Michele: Hyperplane arrangements in CoCoA (2019)
  20. Rapallo, Fabio; Rogantin, Maria-Piera: Algebraic characterization of (\mathbbC)-regular fractions under level permutations (2019)

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