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• W2947558102 abstract "Let $X$ be a $d$ dimensional projective manifold, $E$ be an ample vector bundle on $X$ and $0le lambda_Nle lambda_{N-1} le cdots le lambda_1 le operatorname{rank}(E)$ be a partition of $d-2$. We prove that the Schur class $s_{lambda}(E)in H^{d-2,d-2}(X)$ has the Hard Lefschetz property and satisfies the Hodge-Riemann bilinear relations. As a consequence we obtain various new inequalities between characteristic classes of ample vector bundles, including a higher-rank version of the Khovanskii-Teissier inequalities." @default.
• W2947558102 created "2019-06-07" @default.
• W2947558102 creator A5024940530 @default.
• W2947558102 creator A5066969949 @default.
• W2947558102 date "2023-01-01" @default.
• W2947558102 modified "2023-09-25" @default.
• W2947558102 title "Hodge-Riemann bilinear relations for Schur classes of ample vector bundles" @default.
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• W2947558102 doi "https://doi.org/10.24033/asens.2531" @default.
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