Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71838We show that the Schubert polynomial S_w specializes to the Catalan number C_n when $w=1(n+1)...2$. Several proofs of this result as well as a q-analog are given. An application to the singularities of Schubert varieties is given.9 pages, 1 figureCombinatoricsAlgebraic Geometry05E99 (Primary) 14M15 (Secondary)Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$text