On Hodge-Riemann Cohomology Classes
2021/06/21 by Julius Ross, Matei Toma, Ross, Julius +1 · 5 voices
Mathematics · #math.AG
paper · pdf · doi:10.48550/arxiv.2106.11285
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.
Discussions
- Killer paper intro, from this 2021 paper on arxiv: arxiv.org/pdf/2106.11285 [bsky, 89 points, 2 comments]
- Are mathematicians ok? 🧪 arxiv.org/pdf/2106.11285 [bsky, 80 points, 7 comments]
- arxiv.org/abs/2106.11285 [bsky, 2 points, 0 comments]
- Here you go! doi.org/10.1007/978-... [bsky, 1 points, 1 comments]
- ... Unable to answer any of these, in this paper we will consider cohomology classes on a compact projective manifold that have a property analogous to the Hard-Lefschetz Theorem and Hodge-Riemann bil [bsky, 1 points, 1 comments]
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