The paper under review computes the whole intersection ring of Semple’s version of Schubert’s space, thus completing Tyrrell’s analysis. Remarkably, this is accomplished with no need to explore in detail the geometry ofX, and the authors’ technique is consequently considerably more concise than other approaches or Schubert’s original paper (and will hopefully attack other problems with the same success). The authors produce a graded ring A ., with seven generators and certain relations, map it to the Chow ring A .(X), and show that this homomorphism is an isomorphism
Intersection rings of spaces of triangles.Colloque en l’honneur de Pierre Samuel (Orsay, 1987).
COLLINO, Alberto;
1989-01-01
Abstract
The paper under review computes the whole intersection ring of Semple’s version of Schubert’s space, thus completing Tyrrell’s analysis. Remarkably, this is accomplished with no need to explore in detail the geometry ofX, and the authors’ technique is consequently considerably more concise than other approaches or Schubert’s original paper (and will hopefully attack other problems with the same success). The authors produce a graded ring A ., with seven generators and certain relations, map it to the Chow ring A .(X), and show that this homomorphism is an isomorphism
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