Pieri's Formula Via Explicit Rational Equivalence

Details Pieri's Formula Via Explicit Rational Equivalence Pieri's Formula Via Explicit Rational Equivalence

1996-01-08

arxiv.org/abs/alg-geom/9601006v2

Canad. J. Math., Vol. 49 (6), 1997 pp. 1281-1298

Mathematics

Algebraic Geometry

Revised version; 18 pages with one figure LaTeX 2e

Scientific paper

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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