Pieri's Formula Via Explicit Rational Equivalence
alg-geom
2008-02-03 v2 Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9601006,
title = {Pieri's Formula Via Explicit Rational Equivalence},
author = {Frank Sottile},
journal= {arXiv preprint arXiv:alg-geom/9601006},
year = {2008}
}
Comments
Revised version; 18 pages with one figure LaTeX 2e