Rational points on intersections of cubic and quadric hypersurfaces

Tim D Browning, Rainer Dietmann, D. R. Heath-Brown

Research output: Contribution to journalArticle (Academic Journal)peer-review

267 Downloads (Pure)

Abstract

We investigate the Hasse principle for complete intersections cut out by a quadric and cubic hypersurface defined over the rational numbers.
Original languageEnglish
Pages (from-to)703-749
Number of pages47
JournalJournal of the Institute of Mathematics of Jussieu
Volume14
Issue number4
Early online date5 Jun 2014
DOIs
Publication statusPublished - 9 Sept 2015

Keywords

  • Hasse principle
  • cubic
  • quadratic
  • system
  • rational point
  • Diophantine equations
  • circle method
  • Weyl sum
  • van der Corput method
  • complete intersection

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