Lefschetz classes on projective varieties
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Huh, June; Wang, Botong;
Lefschetz classes on projective varieties
The Lefschetz algebra L ∗ ( X ) L^*(X) of a smooth complex projective variety X X is the subalgebra of the cohomology algebra of X 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.
- University of Wisconsin–Oshkosh United States
- University of Wisconsin–Madison United States
- Institute for Advanced Study United States
- College of New Jersey United States
Mathematics - Algebraic Geometry, FOS: Mathematics, Divisors, linear systems, invertible sheaves, Algebraic cycles, Grassmannians, Schubert varieties, flag manifolds, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, FOS: Mathematics, Divisors, linear systems, invertible sheaves, Algebraic cycles, Grassmannians, Schubert varieties, flag manifolds, Algebraic Geometry (math.AG)
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