CSM-A

CSM-A Macaulay2 package for characteristic classes of singular varieties: This link contains the Macaulay2 code `CSM.m2’ based on the algorithm described in Computing characteristic classes of projective schemes. The code computes the push-forward to projective space of the Chern-Schwartz-MacPherson and Fulton classes of a projective scheme S, given its defining homogeneous ideal. Over C, This information includes the topological Euler characteristic of the support of S. Also produced by the code are functions computing the Segre class of S in projective space, and the Euler characteristic of an affine scheme, given its defining ideal.


References in zbMATH (referenced in 21 articles , 2 standard articles )

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  1. Battistella, Luca; Carocci, Francesca; Manolache, Cristina: Virtual classes for the working mathematician (2020)
  2. Harris, Corey; Helmer, Martin: Segre class computation and practical applications (2020)
  3. Achilles, R.; Manaresi, M.; Pruschke, T.: Mixed multiplicities, Segre numbers and Segre classes (2019)
  4. Aluffi, Paolo: The Chern-Schwartz-MacPherson class of an embeddable scheme (2019)
  5. Aluffi, Paolo: The Segre zeta function of an ideal (2017)
  6. Giovanni Stagliano: A Macaulay2 package for computations with rational maps (2017) arXiv
  7. Harris, Corey: Computing Segre classes in arbitrary projective varieties (2017)
  8. Helmer, Martin: Computing characteristic classes of subschemes of smooth toric varieties (2017)
  9. Helmer, Martin: Computing the Chern-Schwartz-MacPherson Class of complete simplical toric varieties (2017)
  10. Helmer, Martin: A direct algorithm to compute the topological Euler characteristic and Chern-Schwartz-MacPherson class of projective complete intersection varieties (2017)
  11. Helmer, Martin: Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties (2016)
  12. Staglianò, Giovanni: Examples of special quadratic birational transformations into complete intersections of quadrics (2016)
  13. Rossmann, Tobias: Computing topological zeta functions of groups, algebras, and modules. II. (2015)
  14. Aluffi, Paolo: Segre classes of monomial schemes (2013)
  15. Aluffi, Paolo: Euler characteristics of general linear sections and polynomial Chern classes (2013)
  16. Moe, Torgunn Karoline; Qviller, Nikolay: Segre classes on smooth projective toric varieties (2013)
  17. Fassarella, Thiago; Medeiros, Nivaldo: On the polar degree of projective hypersurfaces (2012)
  18. Huh, June: Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs (2012)
  19. Aluffi, Paolo: Shadows of blow-up algebras (2004)
  20. Bürgisser, Peter; Cucker, Felipe; Lotz, Martin: The complexity to compute the Euler characteristic of complex varieties (2004)

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