Separation of periods of quartic surfaces

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Pierre Lairez
  • Emre Can Sertöz

Organisationseinheiten

Externe Organisationen

  • Inria Saclay Centre
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Details

OriginalspracheEnglisch
Seiten (von - bis)1753-1778
Seitenumfang26
FachzeitschriftAlgebra & number theory
Jahrgang17
Ausgabenummer10
PublikationsstatusVeröffentlicht - 19 Sept. 2023

Abstract

We give a computable lower bound for 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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Separation of periods of quartic surfaces. / Lairez, Pierre; Sertöz, Emre Can.
in: Algebra & number theory, Jahrgang 17, Nr. 10, 19.09.2023, S. 1753-1778.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Lairez P, Sertöz EC. Separation of periods of quartic surfaces. Algebra & number theory. 2023 Sep 19;17(10):1753-1778. doi: 10.48550/arXiv.2011.12316, 10.2140/ant.2023.17.1753
Lairez, Pierre ; Sertöz, Emre Can. / Separation of periods of quartic surfaces. in: Algebra & number theory. 2023 ; Jahrgang 17, Nr. 10. S. 1753-1778.
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