Rational points on the intersection of three quadrics

D. R. Heath‐Brown

Type: Article

Publication Date: 2016-07-01

Citations: 1

DOI: https://doi.org/10.1142/s1793042117500178

Abstract

This paper proves the Hasse principle and weak approximation for varieties defined by the smooth intersection of three quadratics in at least 19 variables, over arbitrary number fields.

Locations

International Journal of Number Theory - View
arXiv (Cornell University) - View - PDF
Oxford University Research Archive (ORA) (University of Oxford) - View - PDF
DataCite API - View

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Works That Cite This (1)

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+	Quadratic forms and systems of forms in many variables	2015	Simon L. Rydin Myerson

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	On systems of three quadratic forms	1980	Susan Schuur
+	Intersections of two quadrics and Chatelet surfaces.I.	1987	Jean-Louis Colliot-Thélène Jean-Jacques Sansuc
+ PDF Chat	Algebraic geometry: a first course	1993	Joe Harris
+	Forms in many variables and differing degrees	2014	T. D. Browning D. R. Heath‐Brown
+ PDF Chat	Simultaneous integer values of pairs of quadratic forms	2015	D. R. Heath‐Brown Lillian B. Pierce
+ PDF Chat	On the Chern classes and the Euler characteristic for nonsingular complete intersections	1980	Vicente Aznar
+	Forms in many variables	1962	B. J. Birch
+ PDF Chat	None	1997	C. M. SKINNER
+ PDF Chat	Zeros of pairs of quadratic forms	2015	D. R. Heath‐Brown
+ PDF Chat	Forms in many variables and differing degrees	2017	T. D. Browning D. R. Heath‐Brown