The Chow ring of the Cayley plane

[摘要] 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.

[学科分类] 数学（综合）