Rational points on pencils of conics and quadrics with many degenerate fibres
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Accepted version
Author(s)
Browning, TD
Matthiesen, L
Skorobogatov, AN
Type
Journal Article
Abstract
For any pencil of conics or higher-dimensional quadrics over Q, with all degenerate fibres defined over Q, we show that the Brauer–Manin obstruction controls weak approximation. The proof is based on the Hasse principle and weak approximation for some special intersections of quadrics over Q, which is a consequence of recent advances in additive combinatorics.
Date Issued
2014-07-01
Date Acceptance
2014-01-23
Citation
Annals of Mathematics, 2014, 180 (1), pp.381-402
ISSN
1939-8980
Publisher
Princeton University, Department of Mathematics
Start Page
381
End Page
402
Journal / Book Title
Annals of Mathematics
Volume
180
Issue
1
Copyright Statement
© 2014 Department of Mathematics, Princeton University.
Subjects
Science & Technology
Physical Sciences
Mathematics
MATHEMATICS
BINARY QUADRATIC-FORMS
HASSE PRINCIPLE
WEAK APPROXIMATION
PROJECTIVE LINE
DESCENT
SURFACES
FIBRATIONS
VARIETIES
BUNDLES
Publication Status
Published