Back to Search Start Over

Schinzel Hypothesis on average and rational points.

Authors :
Skorobogatov, Alexei N.
Sofos, Efthymios
Source :
Inventiones Mathematicae. Feb2023, Vol. 231 Issue 2, p673-739. 67p.
Publication Year :
2023

Abstract

We resolve Schinzel's Hypothesis (H) for 100 % of polynomials of arbitrary degrees. We deduce that a positive proportion of diagonal conic bundles over Q with any given number of degenerate fibres have a rational point, and obtain similar results for generalised Châtelet equations. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*HYPOTHESIS
*POLYNOMIALS
*RATIONAL points (Geometry)
*CONIC sections
*EQUATIONS

Details

Language :
English
ISSN :
00209910
Volume :
231
Issue :
2
Database :
Academic Search Index
Journal :
Inventiones Mathematicae
Publication Type :
Academic Journal
Accession number :
161608003
Full Text :
https://doi.org/10.1007/s00222-022-01153-6
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details