Hodge-Riemann bilinear relations for Schur classes of ample vector bundles
type: Item
instance of: scholarly article
title: Hodge-Riemann bilinear relations for Schur classes of ample vector bundles
zbMATH Open document ID: 1522.14012
arXiv ID: 1905.13636
author: Julius Ross
author: Matei Toma
published in: Annales scientifiques de l'École Normale Supérieure
publication date: 2023-07-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1905.13636
Mathematics Subject Classification ID: 14C17
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 32J27
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 7714398
zbMATH Keywords: ample vector bundle
zbMATH Keywords: Schur classes
zbMATH Keywords: Hodge-Riemann bilinear relations
zbMATH Keywords: hard Lefschetz theorem
zbMATH Keywords: Khovanskii-Teissier inequalities
MaRDI profile type: Publication
cites work: CHERN CLASSES OF AMPLE BUNDLES
cites work: Curvature of vector bundles associated to holomorphic fibrations
cites work: The positivity of the Chern classes of an ample vector bundle
cites work: Differentiability of volumes of divisors and a problem of Teissier
cites work: Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations
cites work: Concave elliptic equations and generalized Khovanskii-Teissier inequalities
cites work: Enumeration of bounded lecture hall tableaux
cites work: Teissier's problem on inequalities of nef divisors
cites work: Pseudoeffective and nef classes on abelian varieties
cites work: A numerical criterion for very ample line bundles
cites work: Q4294359
cites work: The mixed Hodge-Riemann bilinear relations for compact Kähler manifolds
cites work: On the Lefschetz and Hodge-Riemann theorems
cites work: Relations between the Kähler cone and the balanced cone of a Kähler manifold
cites work: Teissier's problem on the proportionality of big and nef classes over a compact K�hler manifold
cites work: Positive cones of dual cycle classes
cites work: Positive Polynomials for Filtered Ample Vector Bundles
cites work: Q3129746
cites work: Q4342000
cites work: Positive polynomials for ample vector bundles
cites work: Degeneracy Loci of Vector Bundle Maps and Ampleness
cites work: Compact moduli spaces for slope-semistable sheaves
cites work: Q5598869
cites work: Q4001945
cites work: Ample vector bundles
cites work: Ample Vector Bundles on Curves
cites work: On Very Ample Vector Bundles on Curves
cites work: Ample Vector Bundles on Algebraic Surfaces
cites work: Q4650505
cites work: Q4650504
cites work: Cauchy-Schwarz-type inequalities on Kähler manifolds. II
cites work: Positivity and vanishing theorems for ample vector bundles
cites work: A note on the Hodge index theorem
cites work: Q3792786
cites work: Hodge metrics and positivity of direct images
cites work: Q5628266
cites work: On the Ampleness of Homogeneous Vector Bundles
cites work: Q4192178
cites work: Q3957566
cites work: Q5433079
cites work: Hodge-Index Type Inequalities, Hyperbolic Polynomials, and Complex Hessian Equations
cites work: Mixed Hodge-Riemann bilinear relations and \(m\)-positivity
DOI: 10.24033/ASENS.2531
description: scientific article; zbMATH DE number 7714398