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 41 to 60 of 1353.
Sorted by year (citations)

previous 1 2 3 4 5 ... 66 67 68 next

  1. Mayes-Tang, Sarah: Stabilization of Boij-Söderberg decompositions of ideal powers (2019)
  2. Michael Lesnick, Matthew Wright: Computing Minimal Presentations and Betti Numbers of 2-Parameter Persistent Homology (2019) arXiv
  3. Nasseh, Saeed; Seceleanu, Alexandra; Watanabe, Junzo: Determinants of incidence and Hessian matrices arising from the vector space lattice (2019)
  4. Nguyen, Hop D.; Vu, Thanh: Powers of sums and their homological invariants (2019)
  5. Petrović, Sonja; Stasi, Despina; Wilburne, Dane: Random monomial ideals: a Macaulay2 package (2019)
  6. Piedra, Andrés: A partial description of the Chow variety of 1-cycles of degree 3 in (\mathbbP^3) (2019)
  7. Rather, Shahnawaz Ahmad; Singh, Pavinder: On Betti numbers of edge ideals of crown graphs (2019)
  8. Steiner, Avi: (A)-hypergeometric modules and Gauss-Manin systems (2019)
  9. Trung, Van Duc: The initial ideal of generic sequences and Fröberg’s conjecture (2019)
  10. Yang, Jay: Random toric surfaces and a threshold for smoothness (2019)
  11. Abe, Hiraku; DeDieu, Lauren; Galetto, Federico; Harada, Megumi: Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies (2018)
  12. Ada Boralevi, Daniele Faenzi, Paolo Lella: A construction of equivariant bundles on the space of symmetric forms (2018) arXiv
  13. Addington, Nicolas; Auel, Asher: Some non-special cubic fourfolds (2018)
  14. Ahn, Jeaman; Migliore, Juan C.; Shin, Yong-Su: Green’s theorem and Gorenstein sequences (2018)
  15. Alesandroni, Guillermo: Structural decomposition of monomial resolutions (2018)
  16. Alfaro, Carlos A.: Graphs with real algebraic co-rank at most two (2018)
  17. Alfaro, Carlos A.; Valencia, Carlos E.: Small clique number graphs with three trivial critical ideals (2018)
  18. Alilooee, A.; Faridi, S.: Graded Betti numbers of path ideals of cycles and lines (2018)
  19. Alilooee, Ali; Soprunov, Ivan; Validashti, Javid: Generalized multiplicities of edge ideals (2018)
  20. Amata, Luca; Crupi, Marilena: ExteriorIdeals: a package for computing monomial ideals in an exterior algebra (2018)

previous 1 2 3 4 5 ... 66 67 68 next


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