Rational points on quartic hypersurfaces
From MaRDI portal
Publication:3625702
DOI10.1515/CRELLE.2009.026zbMath1169.11027arXivmath/0701348MaRDI QIDQ3625702
D. R. Heath-Brown, Timothy D. Browning
Publication date: 6 May 2009
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701348
Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Rational points (14G05) Varieties over global fields (11G35) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25) Weyl sums (11L15)
Related Items (10)
Rational curves on smooth hypersurfaces of low degree ⋮ Improvements in Birch's theorem on forms in many variables ⋮ Rational points on complete intersections over Fq(t)${\mathbb {F}}_q(t)$ ⋮ Counting rational points on smooth cyclic covers ⋮ On the Hasse principle for complete intersections ⋮ Counting rational points on hypersurfaces and higher order expansions ⋮ Rational points and prime values of polynomials in moderately many variables ⋮ On the Hasse principle for quartic hypersurfaces ⋮ Rational points on linear slices of diagonal hypersurfaces ⋮ Rational points on cubic hypersurfaces over \(\mathbb F_q(t)\)
Cites Work
- On the number of points on a complete intersection over a finite field. (Appendix: Number of points on singular complete intersections by Nicholas M. Katz)
- Rational points of bounded height on Fano varieties
- The density of rational points on non-singular hypersurfaces
- The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
- The density of integer points on homogeneous varieties
- Cubic forms in 14 variables
- Forms in many variables
- Homogeneous additive equations
- Unnamed Item
This page was built for publication: Rational points on quartic hypersurfaces
