Schubert calculus on the arithmetic Grassmannian

DOI10.1215/S0012-7094-99-09812-5zbMath0989.14007MaRDI QIDQ1974930

Harry Tamvakis

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Schur functionsheightArakelov geometryYoung diagramsarithmetic Chow ringLittlewood-Richardson numbersarithmetic Schubert calculusArakelov Chow ring

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (1)

Standard conjectures for the arithmetic Grassmannian \(G(2,N)\) and Racah polynomials.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characteristic classes for algebraic vector bundles with Hermitian metric. II
• Characteristic classes for algebraic vector bundles with Hermitian metric. I
• Diophantine approximation on abelian varieties
• Arithmetic intersection theory
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Arithmetic intersection theory on flag varieties
• Quantum multiplication of Schur polynomials
• Bott-Chern forms and arithmetic intersections
• An arithmetic Schubert calculus
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Arakelov theory of the Lagrangian Grassmannian
• Heights of Projective Varieties and Positive Green Forms

This page was built for publication: Schubert calculus on the arithmetic Grassmannian