Lefschetz classes on projective varieties

June Huh; Botong Wang

doi:10.1090/proc/13757

Lefschetz classes on projective varieties

June Huh
, Botong Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The Lefschetz algebra L^∗ (X) of a smooth complex projective variety X is the subalgebra of the cohomology algebra of X generated by divisor classes. We construct smooth complex projective varieties whose Lefschetz algebras do not satisfy analogues of the hard Lefschetz theorem and Poincaré duality.

Original language	English (US)
Pages (from-to)	4629-4637
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	11
DOIs	https://doi.org/10.1090/proc/13757
State	Published - 2017

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "Lefschetz classes on projective varieties",

abstract = "The Lefschetz algebra L∗ (X) of a smooth complex projective variety X is the subalgebra of the cohomology algebra of X generated by divisor classes. We construct smooth complex projective varieties whose Lefschetz algebras do not satisfy analogues of the hard Lefschetz theorem and Poincar{\'e} duality.",

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AB - The Lefschetz algebra L∗ (X) of a smooth complex projective variety X is the subalgebra of the cohomology algebra of X generated by divisor classes. We construct smooth complex projective varieties whose Lefschetz algebras do not satisfy analogues of the hard Lefschetz theorem and Poincaré duality.

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

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Lefschetz classes on projective varieties

Abstract

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