Integral Points on a del Pezzo Surface over Imaginary Quadratic Fields

Research output: Working paper/Preprint › Preprint

Authors

  • Judith Lena Ortmann

Research Organisations

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Details

Original languageEnglish
Number of pages32
Publication statusE-pub ahead of print - 24 Jul 2023

Abstract

We characterise integral points of bounded log-anticanonical height on a quartic del Pezzo surface of singularity type $\mathbf{A}_3$ over imaginary quadratic fields with respect to its singularity and its lines. Furthermore, we count these integral points of bounded height by using universal torsors and interpret the count geometrically to prove an analogue of Manin's conjecture for the set of integral points with respect to the singularity and to a line.

Keywords

    math.NT, math.AG, 11D45 (Primary) 11G35, 11R11, 14G05, 14J26 (Secondary)

Research Area (based on ÖFOS 2012)

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Integral Points on a del Pezzo Surface over Imaginary Quadratic Fields. / Ortmann, Judith Lena.
2023.

Research output: Working paper/Preprint › Preprint

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