Chern classes of Schubert cells and varieties

DOI10.1090/S1056-3911-08-00482-7zbMath1163.14004arXivmath/0607752MaRDI QIDQ3549346

Leonardo C. Mihalcea, Paolo Aluffi

Publication date: 22 December 2008

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607752

zbMATH Keywords

Schubert calculusintersection theorySchubert varietiescharacteristic classesflag manifoldsGrassmaniansclassical problems

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Classical problems, Schubert calculus (14N15)

Related Items

Quantum field theory over \(\mathbb F_1\) ⋮ The Nash blow-up of a cominuscule Schubert variety ⋮ Chern classes and characteristic cycles of determinantal varieties ⋮ Motivic classes of degeneracy loci and pointed Brill‐Noether varieties ⋮ Chern–Schwartz–MacPherson classes for Schubert cells in flag manifolds ⋮ Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells ⋮ The uniqueness theorem for Gysin coherent characteristic classes of singular spaces ⋮ Gysin restriction of topological and Hodge-theoretic characteristic classes for singular spaces ⋮ Chern class of Schubert cells in the flag manifold and related algebras ⋮ Equivariant Hirzebruch classes and Molien series of quotient singularities ⋮ Positivity of Chern classes of Schubert cells and varieties ⋮ THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME ⋮ Chern-Schwartz-MacPherson classes of degeneracy loci ⋮ Motivic characteristic classes in cohomological Hall algebras ⋮ Structure constants for Chern classes of Schubert cells ⋮ The arc space of the Grassmannian ⋮ Equivariant Hirzebruch class for singular varieties ⋮ ħ-Deformed Schubert Calculus in Equivariant Cohomology, K-Theory, and Elliptic Cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chern classes for singular varieties, revisited.
• A geometric Littlewood-Richardson rule
• Limits of Chow groups, and a new construction of Chern-Schwartz-MacPherson classes
• Chern classes for singular algebraic varieties
• Chern classes of automorphic vector bundles.
• Advanced determinant calculus: a complement
• Désingularisation des variétés de Schubert généralisées
• Differential forms with logarithmic poles and Chern-Schwartz-MacPherson classes of singular varieties
• Chern-Schwartz-Macpherson Classes and the Euler Characteristic of Degeneracy Loci and Special Divisors

This page was built for publication: Chern classes of Schubert cells and varieties