RATIONAL POINTS ON INTERSECTIONS OF CUBIC AND QUADRIC HYPERSURFACES

T. D. Browning, Rainer Dietmann, D. R. Heath‐Brown

Type: Article

Publication Date: 2014-06-05

Citations: 18

DOI: https://doi.org/10.1017/s1474748014000127

Abstract

We investigate the Hasse principle for complete intersections cut out by a quadric and cubic hypersurface defined over the rational numbers.

Locations

Journal of the Institute of Mathematics of Jussieu - View
arXiv (Cornell University) - View - PDF
Bristol Research (University of Bristol) - View - PDF
Oxford University Research Archive (ORA) (University of Oxford) - View - PDF
DataCite API - View

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Works Cited by This (25)

Action	Title	Year	Authors
+	Descente et principe de Hasse pour certaines variétés rationnelles.	1980	Jean-Louis Colliot-Thélène Daniel Coray
+	Intersections of two quadrics and Chatelet surfaces.I.	1987	Jean-Louis Colliot-Thélène Jean-Jacques Sansuc
+ PDF Chat	A new form of the circle method, and its application to quadratic forms.	1996	D. R. Heath‐Brown
+ PDF Chat	Rational points on quartic hypersurfaces	2009	T. D. Browning D. R. Heath‐Brown
+ PDF Chat	Rationally Connected Varieties Over Local Fields	1999	Janós Kollár
+	A Birch–Goldbach theorem	2010	Jörg Brüdern Rainer Dietmann J. Y. Liu Trevor D. Wooley
+	Cubic polynomials over algebraic number fields	1975	P. A. B. Pleasants
+ PDF Chat	Weak approximation for cubic hypersurfaces of large dimension	2013	Mike Swarbrick Jones
+ PDF Chat	The density of integer points on homogeneous varieties	1985	Wolfgang M. Schmidt
+ PDF Chat	On the Chern classes and the Euler characteristic for nonsingular complete intersections	1980	Vicente Aznar