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arXiv · 2106.11285

On Hodge-Riemann Cohomology Classes

Julius Ross·Matei Toma
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Abstract

We prove that Schur classes of nef vector bundles are limits of classes that have a property analogous to the Hodge-Riemann bilinear relations. We give a number of applications, including (1) new log-concavity statements about characteristic classes of nef vector bundles (2) log-concavity statements about Schur and related polynomials (3) another proof that normalized Schur polynomials are Lorentzian.

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Julius Ross, Matei Toma. 2021-06-21. On Hodge-Riemann Cohomology Classes. https://arxiv.org/abs/2106.11285

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