Separation of periods of quartic surfaces
arXiv:2011.12316 · doi:10.2140/ant.2023.17.1753
Abstract
We give a computable lower bound on the distance between two distinct periods of a given quartic surface defined over the algebraic numbers. The main ingredient is the determination of height bounds on components of the Noether--Lefschetz loci. This makes it possible to study the Diophantine properties of periods of quartic surfaces and to certify a part of the numerical computation of their Picard groups.
arXiv comment28 pages. Added a final section elaborating on our results. Implemented referee suggestions. Final version
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