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arXiv · alg-geom/9601006

Pieri's Formula Via Explicit Rational Equivalence

Frank Sottile
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Abstract

We present a new geometric proof of Pieri's formula, exhibiting an explicit chain of rational equivalences from a suitable sum of distinct Schubert varieties to the intersection of a Schubert variety with a special Schubert variety. The geometry of these rational equivalences indicate a link to a combinatorial proof of Pieri's formula using Schensted insertion. This version includes an example to illustrate the proof.

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Frank Sottile. 1996-05-15. Pieri's Formula Via Explicit Rational Equivalence. https://arxiv.org/abs/alg-geom/9601006

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