Geodesic
Pieri’S Formula Via Explicit Rational Equivalence
Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1281-1298

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1997-063-7
Mots-clés : 14M15, 05E10, Pieri’s formula, rational equivalence, Grassmannian, Schensted insertion 
Sottile, Frank. Pieri’S Formula Via Explicit Rational Equivalence. Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1281-1298. doi: 10.4153/CJM-1997-063-7
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