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On the arithmetic of del Pezzo surfaces of degree 2 \ud

By Andrew Kresch and Yuri Tschinkel

Abstract

We study the arithmetic of certain del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2- and 4-torsion elements in the Brauer group

Topics: QA
Publisher: Cambridge University Press
Year: 2004
OAI identifier: oai:wrap.warwick.ac.uk:757

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Citations

  1. (2000). Advanced topics in computational number theory (Springer, doi
  2. (1986). ANIN, Cubic forms, 2nd edn (North-Holland,
  3. (1984). de deux quadriques et surfaces de Ch^ a atelet’,
  4. (1989). Del Pezzo surfaces of degree four’, doi
  5. (1980). Descente et principe de Hasse pour certaines vari e et e es rationnelles’, doi
  6. (1987). Intersections of two quadrics and Ch^ a atelet surfaces’,
  7. (1971). ISKOVSKIH, ‘A counterexample to the Hasse principle for systems of two quadratic forms in ve variables’,
  8. (1979). Noordho , Alphen aan den Rijn, doi
  9. (1973). Normen algebraischer Zahlen’, doi
  10. (1997). On solving relative norm equations in algebraic number elds’, doi
  11. (1999). Rational points on some pencils of conics with 6 singular bres’, doi
  12. (1993). The Brauer group of cubic surfaces’, doi
  13. (1975). The Hasse problem for rational surfaces’,
  14. (2001). The solubility of diagonal cubic surfaces’, doi
  15. (2001). Torsors and rational points doi
  16. (1962). Two special cubic surfaces’, doi
  17. (1997). U Uber relative Normgleichungen in algebraischen Zahlk€ o orpern’, PhD Thesis, Technische Universit€ a at
  18. (1988). Zero-cycles on rational surfaces over number elds’, doi

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