On the equidistribution of some Hodge loci
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Salim Tayou
Abstract
We prove the equidistribution of the Hodge locus for certain non-isotrivial, polarized variations of Hodge structure of weight 2 with
Funding statement: This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No 715747).
Acknowledgements
I am very grateful to François Charles for introducing me to this subject, for the many discussions we had and for his enlightening guidance. I wish also to thank Quentin Guignard and Lucia Mocz for their careful reading of an earlier version of this paper. I have benefited from many useful conversations with Yohan Brunebarbe, Gaëtan Chenevier and Étienne Fouvry. Special thanks go to the referee who helped improving the exposition and reducing inaccuracies.
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- On the arithmetic of abelian varieties
- On the equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow
- On derivatives of p-adic L-series at s = 0
- An elementary proof of the Eichler–Selberg trace formula
- The free group on n generators modulo n + u random relations as n goes to infinity
- On the equidistribution of some Hodge loci
- Les formules des traces relatives de Jacquet–Rallis grossières
- On a duality theorem of Schneider–Stuhler
- On the asymptotic behavior of the dimension of spaces of harmonic functions with polynomial growth
Articles in the same Issue
- Frontmatter
- On the arithmetic of abelian varieties
- On the equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow
- On derivatives of p-adic L-series at s = 0
- An elementary proof of the Eichler–Selberg trace formula
- The free group on n generators modulo n + u random relations as n goes to infinity
- On the equidistribution of some Hodge loci
- Les formules des traces relatives de Jacquet–Rallis grossières
- On a duality theorem of Schneider–Stuhler
- On the asymptotic behavior of the dimension of spaces of harmonic functions with polynomial growth
