Rational Points in the Noether-Lefschetz Locus of Moduli Spaces of K3 Surfaces
2024
Abstract
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.
Details
Title
Rational Points in the Noether-Lefschetz Locus of Moduli Spaces of K3 Surfaces
Author(s)
Valloni, Domenico
Published in
International Mathematics Research Notices
Date
2024-05-10
Publisher
Oxford, Oxford Univ Press
ISSN
1073-7928
1687-0247
1687-0247
Keywords
Other identifier(s)
View record in Web of Science
Laboratories
CAG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > CAG - Chair of Geometric Analysis
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Grant
Europen Research Council (ERC) under the European Union: 948066
Record creation date
2024-06-05