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.
