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• W2951723892 abstract "Statements analogous to the Hard Lefschetz Theorem (HLT) and the Hodge-Riemann bilinear relations (HRR) hold in a variety of contexts: they impose restrictions on the cohomology algebra of a smooth compact Kahler manifold or on the intersection cohomology of a projective toric variety; they restrict the local monodromy of a polarized variation of Hodge structure; they impose conditions on the possible $f$-vectors of convex polytopes. While the statements of these theorems depend on the choice of a Kahler class, or its analog, there is usually a cone of possible Kahler classes. It is then natural to ask whether the HLT and HRR remain true in a mixed context. In this note we present a unified approach to proving the mixed HLT and HRR, generalizing the previously known results, and proving it in new cases such as the intersection cohomology of non-rational polytopes." @default.
• W2951723892 created "2019-06-27" @default.
• W2951723892 creator A5030859978 @default.
• W2951723892 date "2007-07-10" @default.
• W2951723892 modified "2023-09-27" @default.
• W2951723892 title "Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations" @default.
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• W2951723892 hasPublicationYear "2007" @default.
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