Geodesic
Finiteness for self-dual classes in integral variations of Hodge structure
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

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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 $\mathbb{R}_{\mathrm{an},\exp}$.
DOI : 10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626
Classification : 03C64, 14C30, 14D07, 22F30 
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     author = {Bakker, Benjamin and Grimm, Thomas W. and Schnell, Christian and Tsimerman, Jacob},
     title = {Finiteness for self-dual classes in integral variations of {Hodge} structure},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     year = {2023},
     doi = {10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626/}
}
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Bakker, Benjamin; Grimm, Thomas W.; Schnell, Christian; Tsimerman, Jacob. Finiteness for self-dual classes in integral variations of Hodge structure. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626

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