Pieri’S Formula Via Explicit Rational Equivalence Academic Article uri icon

abstract

  • Pieri's formula describes the intersection product of a Schubert cycle by a special Schubert cycle on a Grassmannian. We present a new geometric proof, exhibiting an explicit chain of rational equivalences from a suitable sum of distinct Schubert cycles to the intersection of a Schubert cycle with a special Schubert cycle. The geometry of these rational equivalences indicates a link to a combinatorial proof of Pieri's formula using Schensted insertion.

author list (cited authors)

  • Sottile, F.

citation count

  • 10

publication date

  • December 1997