A+ CATEGORY SCIENTIFIC UNIT

Counting rational points on del Pezzo surfaces with a conic bundle structure

Volume 163 / 2014

Tim Browning, Michael Swarbrick Jones Acta Arithmetica 163 (2014), 271-298 MSC: Primary 11G50; Secondary 11G35, 14G05. DOI: 10.4064/aa163-3-6

Abstract

For any number field $k$, upper bounds are established for the number of $k$-rational points of bounded height on non-singular del Pezzo surfaces defined over $k$, which are equipped with suitable conic bundle structures over $k$.

Authors

  • Tim BrowningSchool of Mathematics
    University of Bristol
    Bristol, BS8 1TW, UK
    e-mail
  • Michael Swarbrick JonesSchool of Mathematics
    University of Bristol
    Bristol, BS8 1TW, UK
    e-mail

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