Correspondences between projective planes

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arxiv 1303.4113 v3 pith:TKTW7O3K submitted 2013-03-17 math.AG

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classification math.AG

keywords planesprojectivecharacterizeclassescorrespondenceshomologyintegralproduct

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We characterize integral homology classes of the product of two projective planes which are representable by a subvariety.

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Realization of Cohomology Classes in Grassmannians
math.AG 2025-09 conditional novelty 7.0 of 10

In Grassmannians, dimension 3 and codimension 3 classes are realizable by irreducible subvarieties exactly when b²≥ac, and in G(2,n) classes are realizable over Q exactly when their coefficients form a log-concave seq...