The Chow ring of the Cayley plane
By A. Iliev, Laurent Manivel. Compositio Mathematica, 2003
56 citations recorded by the source corpus.
We give a full description of the Chow ring of the complex Cayley plane $\mathbb{O}\mathbb{P}^2$. For this, we describe explicitly the most interesting of its Schubert varieties and compute their intersection products. Translating our results into the Borel presentation, i.e. in terms of Weyl group invariants, we are able to compute the degree of the variety of reductions Y8 introduced by the current authors in arXiv: math.AG/0306328.
View Paper: https://www.semanticscholar.org/paper/809f10400e7df74b65a28f556721ece2b7b6e443
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- P. Chaput
- N. Perrin
- Laurent Manivel
- Anders Skovsted Buch
- J. M. Landsberg
- Hugh Thomas
- Leonardo Constantin Mihalcea
Citations in the corpus
- Quantum Cohomology of Minuscule Homogeneous Spaces (2006, methodology): “This relies on the computations of the classical cohomology rings done in [ IM ] for the Cayley plane, and very recently in [NS] for the Freudenthal variety.”
- Configurations of lines and models of Lie algebras (2005, background): “The image of its action on J has minimal rank, namely 6 [24], and is a maximal linear space in the Cayley plane, with a weight basis given by one half of the double-six.”