Puissances extérieures, déterminants et cycles de Schubert

DOI10.24033/bsmf.1776zbMath0295.14024OpenAlexW2584069347MaRDI QIDQ4047666

Lascoux, Alain

Publication date: 1974

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1974__102__161_0

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Cycles and subschemes (14C99)

Related Items (17)

A Littlewood-Richardson rule for factorial Schur functions ⋮ Modules of the 0-Hecke algebra and quasisymmetric Schur functions ⋮ \(K\)-theoretic Chern class formulas for vexillary degeneracy loci ⋮ Tableau formulas for skew Schubert polynomials ⋮ Combinatorics of the \(K\)-theory of affine grassmannians ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials ⋮ Skew quasisymmetric Schur functions and noncommutative Schur functions ⋮ Schur and Schubert polynomials as Thom polynomials -- cohomology of moduli spaces ⋮ Gysin maps, duality, and Schubert classes ⋮ Equivariant Littlewood-Richardson skew tableaux ⋮ Flags, Schubert polynomials, degeneracy loci, and determinantal formulas ⋮ A combinatorial construction of the Schubert polynomials ⋮ The flagged double Schur function ⋮ Polar classes of singular varieties ⋮ Schubert polynomials, theta and eta polynomials, and Weyl group invariants ⋮ Enumerative geometry of degeneracy loci ⋮ ħ-Deformed Schubert Calculus in Equivariant Cohomology, K-Theory, and Elliptic Cohomology

Cites Work

• The determinantal formula of Schubert calculus
• Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
• Le calcul des classes duales aux singularites de Boardman d'ordre deux
• Algebraic cycles on Grassmann varieties
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• Note on Dual Symmetric Functions
• The Geometrical Invariants of Algebraic Loci
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