Generalizes the Cattani-Deligne-Kaplan finiteness theorem from Hodge classes to self-dual classes via definability of period mappings in the o-minimal structure R_an,exp.
On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds
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abstract
In this paper, we study the Chern classes on the moduli space of polarized Calabi-Yau manifolds. We prove that the integrations of the invariants of the curvature of the Weil-Petersson metric are finite. In some special cases, they are even rational numbers.
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2021 1verdicts
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Finiteness for self-dual classes in integral variations of Hodge structure
Generalizes the Cattani-Deligne-Kaplan finiteness theorem from Hodge classes to self-dual classes via definability of period mappings in the o-minimal structure R_an,exp.