Relative Hard Lefschetz theorem for fans
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DOI: 10.1016/j.aim.2019.03.006
Abstract: We prove the Relative Hard Lefschetz theorem and the Relative Hodge-Riemann bilinear relations for combinatorial intersection cohomology sheaves on fans. read more here.
Keywords: hard lefschetz; theorem fans; relative hard; lefschetz theorem ... See more keywords
Some results on the Hard Lefschetz Condition
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DOI: 10.1142/s0129167x18500957
Abstract: We discuss the Hard Lefschetz Condition (HLC) on various cohomology groups and verify them for the Nakamura manifold of completely solvable type and the Kodaira-Thurston manifold. A general Demailly-Griffiths-Kähler identity is also given. read more here.
Keywords: hard lefschetz; lefschetz condition; results hard;
On the hard Lefschetz theorem for pseudoeffective line bundles
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DOI: 10.1142/s0129167x2150035x
Abstract: In this paper, we obtain a number of results related to the hard Lefschetz theorem for pseudoeffective line bundles, due to Demailly, Peternell and Schneider. Our first result states that the holomorphic sections produced by… read more here.
Keywords: hard lefschetz; theorem pseudoeffective; pseudoeffective line; lefschetz theorem ... See more keywords