Correspondences between projective planes
June Huh
TL;DR
This paper characterizes which integral homology classes in the product of two projective planes can be represented by subvarieties, providing a classification within algebraic geometry.
Contribution
It offers a new characterization of representable homology classes in the product of two projective planes, advancing understanding of subvariety representations.
Findings
Identifies conditions for homology classes to be representable by subvarieties.
Provides a classification of representable classes in the product of two projective planes.
Advances algebraic geometry by linking homology classes with geometric subvarieties.
Abstract
We characterize integral homology classes of the product of two projective planes which are representable by a subvariety.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra