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arXiv · 2011.12316

Separation of periods of quartic surfaces

Pierre Lairez·Emre Can Sertöz
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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.

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Pierre Lairez, Emre Can Sertöz. 2020-11-24. Separation of periods of quartic surfaces. https://doi.org/10.2140/ant.2023.17.1753

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