Software

Created in collaboration with S. Nikolenko, V. Petrov and K. Zainoulline.

Some Maple packages below require the coxeter/weyl Maple package of J. Stembridge.

  • Chow ring package. Version 4.0 This package computes the Chow ring structure and Steenrod operations for projective homogeneous varieties using equivariant cohomology. The algorithm uses Billey-Tymoczko method (described in the article: S. Garibaldi, V. Petrov, N. Semenov, Shells of twisted flag varieties and the Rost invariant, Section 5). It is substantially faster than all previous algorithms. Last update: 27.05.2015
  • Chow ring package. Version 3.0 This package computes the Chow ring structure and Steenrod operations for projective homogeneous varieties using equivariant cohomology. The Steenrod operations for type Cn are not implemented. For Steenrod operations for type Cn please use Version 2. Last update: 15.11.2011
  • Chow ring package. Version 2.0 Last update: 21.02.2011.
  • How to use this package: Example Last update: 28.11.2014
  • Old versions:

  • Chow ring package. Version 1.0 Last update: 22.07.2010. Fixed a gap in the previous version in "prodbases".
  • Multiplicative structure of the Chow rings of projective homogeneous varieties (PHV) and Chern classes. Last update: 21.05.2007. The algorithm is based on: M. Demazure, Désingularisation des variétés de Schubert généralisées, Ann. Sci. École Norm. Sup. 7 (1974), 53-88.
  • Chern classes of tangent bundles of PHV.
  • Steenrod operations on PHV. Last update: 08.06.2007. The algorithm is based on: H. Duan, X. Zhao, A unified formula for Steenrod operations in flag manifolds, Compos. Math. 143 (2007), no. 1, 257-270.