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1 results

  • The Chow ring of the Cayley plane

  • Atanas Iliev, Laurent Manivel
  • Journal:
    Compositio Mathematica / Volume 141 / Issue 1 / January 2005
    Published online by Cambridge University Press:
    01 December 2004, pp. 146-160
    Print publication:
    January 2005
    • Article
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  • 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.