Abstract
Let V be a Del Pezzo surface of degree 4 over a number field k such that V(k) ≠ ø. We prove that V(k) = V(A)Br.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.-L. Colliot-Thélène & P. Swinnerton-Dyer — Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties, J. Reine Angew. Math. 453 (1994), 49–112.
P. Salberger & A. N. Skorobogatov — Weak approximation for surfaces defined by two quadratic forms, Duke Math. J. 63 (1991), no. 2, 517–536.
P. Swinnerton-Dyer — Rational points on pencils of conics and on pencils of quadrics, J. London Math. Soc. (2)50 (1994), no. 2, 231–242.
P. Swinnerton-Dyer, Some applications of Schinzel’s hypothesis to Diophantine equations, Number theory in progress, Vol. 1 (Zakopane-Koscielisko, 1997), de Gruyter, Berlin, 1999, 503–530.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media New York
About this chapter
Cite this chapter
Swinnerton-Dyer, P. (2004). Weak Approximation on Del Pezzo Surfaces of Degree 4. In: Poonen, B., Tschinkel, Y. (eds) Arithmetic of Higher-Dimensional Algebraic Varieties. Progress in Mathematics, vol 226. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8170-8_14
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8170-8_14
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6471-2
Online ISBN: 978-0-8176-8170-8
eBook Packages: Springer Book Archive