Hodge-Riemann Relations for Schur Classes in the Linear and Kähler Cases

2022/02/28 by Julius Ross, Matei Toma, Ross, Julius +1 · 2 citations
Mathematics · #14C17 #14J60 #32J27 #52A40 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2202.13816

openalex publication_date 2022/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a version of the Hodge-Riemann bilinear relations for Schur polynomials of Kähler forms and for Schur polynomials of positive forms on a complex vector space.

Cited by

• Generalized Bogomolov Inequalities
• Hodge-Riemann polynomials

Related

• Hodge-Riemann polynomials
• On Hodge-Riemann Cohomology Classes
• Hodge-Riemann bilinear relations for Schur classes of ample vector bundles
• The mixed Hodge-Riemann bilinear relations for compact Kahler manifolds
• What is Schur positivity and how common is it?