Benjamin Bakker ; Thomas W. Grimm ; Christian Schnell ; Jacob Tsimerman - Finiteness for self-dual classes in integral variations of Hodge structure

epiga:9626 - Épijournal de Géométrie Algébrique, May 31, 2023, Special volume in honour of Claire Voisin - https://doi.org/10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626
Finiteness for self-dual classes in integral variations of Hodge structureArticle

Authors: Benjamin Bakker ; Thomas W. Grimm ; Christian Schnell ; Jacob Tsimerman

    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

    https://doi.org/10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626
    Source: arXiv.org:2112.06995
    Volume: Special volume in honour of Claire Voisin
    Published on: May 31, 2023
    Accepted on: March 6, 2023
    Submitted on: May 31, 2022
    Keywords: Mathematics - Algebraic Geometry, High Energy Physics - Theory
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
    Funding:
      Source : OpenAIRE Graph
    • CAREER: Hodge Theory and D-Modules in Algebraic Geometry; Funder: National Science Foundation; Code: 1551677
    • CAREER: Hodge Theory and Moduli; Funder: National Science Foundation; Code: 1848049

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