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research article
Rational Points in the Noether-Lefschetz Locus of Moduli Spaces of K3 Surfaces
May 10, 2024
We give a characterization of rational points lying on the Noether-Lefschetz locus of moduli spaces of K3 surfaces by studying their lifting properties under some natural coverings of the ambient space. We then prove that the Bombieri-Lang conjecture implies non-density statements for the rational points in the Noether-Lefschetz locus, as predicted by a conjecture of Shafarevich.
Type
research article
Web of Science ID
WOS:001219736200001
Authors
Publication date
2024-05-10
Publisher
Published in
Peer reviewed
REVIEWED
EPFL units
Funder | Grant Number |
Europen Research Council (ERC) under the European Union | 948066 |
Available on Infoscience
June 5, 2024
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