Finiteness for self-dual classes in integral variations of Hodge structure
Benjamin Bakker, Thomas W. Grimm, Christian Schnell, Jacob Tsimerman
Abstract
We generalize the finiteness theorem for the locus of Hodge classes with fixed self-intersection number, due to Cattani, Deligne, and Kaplan, from Hodge classes to self-dual classes. The proof uses the definability of period mappings in the o-minimal structure $\mathbb{R}_{\mathrm{an},\exp}$. Comment: v3: final version
Topics & Concepts
MathematicsDual (grammatical number)Intersection (aeronautics)Pure mathematicsHodge theoryLocus (genetics)Hodge conjectureComplete intersectionGeographyPhilosophyCohomologyLinguisticsCartographyGeneChemistryBiochemistryAlgebraic Geometry and Number TheoryAdvanced Topology and Set TheoryHomotopy and Cohomology in Algebraic Topology