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

232 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 Sep 2015

Keywords

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

Fingerprint Dive into the research topics of 'Rational points on intersections of cubic and quadric hypersurfaces'. Together they form a unique fingerprint.

Cite this