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.

A short documentation, accompanied by examples, can be found here.

Also, here is a link to the related paper, Shadows of blow-up algebras.

Please inform me of any problems with the code. Comments and suggestions for improvements will be greatly appreciated. If you use the code for computations leading to a publication, please reference the above paper in your bibliography:

@article {math.AG/0204230,
    AUTHOR = {Aluffi, Paolo},
     TITLE = {Computing characteristic classes of projective schemes},
   JOURNAL = {J. Symbolic Comput.},
  FJOURNAL = {Journal of Symbolic Computation},
    VOLUME = {35},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {3--19},
Many thanks, --Paolo Aluffi

Last modified: Mon Feb 17 14:08:38 EST 2007