JournalsjemsVol. 21, No. 3pp. 627–664

Integral points on conic log K3 surfaces

  • Yonatan Harpaz

    Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France
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Abstract

Adapting a powerful method of Swinnerton–Dyer, we give explicit sufficient conditions for the existence of integral points on certain schemes which are fibered into affine conics. This includes, in particular, cases where the scheme is geometrically a smooth log K3 surface.

Cite this article

Yonatan Harpaz, Integral points on conic log K3 surfaces. J. Eur. Math. Soc. 21 (2019), no. 3, pp. 627–664

DOI 10.4171/JEMS/846