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Publications

  1. 2024

  2. E-pub ahead of print

    Points of bounded height on quintic del Pezzo surfaces over number fields

    Bernert, C. & Derenthal, U., 30 May 2024, (E-pub ahead of print).

    Research output: Working paper/PreprintPreprint

  3. 2023

  4. E-pub ahead of print

    Small solutions to homogeneous and inhomogeneous cubic equations

    Bernert, C., 3 Oct 2023, (E-pub ahead of print) (ArXiv).

    Research output: Working paper/PreprintPreprint

  5. E-pub ahead of print

    The singular series of a cubic form in many variables and a new proof of Davenport's Shrinking Lemma

    Bernert, C., 3 Oct 2023, (E-pub ahead of print) (ArXiv).

    Research output: Working paper/PreprintPreprint

  6. E-pub ahead of print

    Cubic forms over imaginary quadratic number fields and pairs of rational cubic forms

    Bernert, C. & Hochfilzer, L., 18 Jul 2023, (E-pub ahead of print) (ArXiv).

    Research output: Working paper/PreprintPreprint

  7. External

    Rational points and lines on cubic hypersurfaces

    Bernert, C., 2023

    Research output: ThesisDoctoral thesis