Counting rational points on biprojective hypersurfaces of bidegree \((1,2)\)
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Publication:2187131
DOI10.1016/j.jnt.2020.04.002zbMath1486.11049OpenAlexW3028308581MaRDI QIDQ2187131
Publication date: 2 June 2020
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2020.04.002
Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35) Heights (11G50) Global ground fields in algebraic geometry (14G25)
Cites Work
- Manin's conjecture for certain biprojective hypersurfaces
- The Manin conjecture for \(x_0y_0+\dots+x_sy_s=0\)
- Rational points of bounded height on Fano varieties
- Bounds for automorphic \(L\)-functions
- The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
- Heights and Tamagawa measures on Fano varieties
- Density of rational points on a quadric bundle in \(\mathbb{P}^3 \times \mathbb{P}^3 \)
- Bihomogeneous forms in many variables
- Counting rational points on biquadratic hypersurfaces
- Counting rational points on algebraic varieties
- Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
- On the Number of Rational Points of Bounded Height on Smooth Bilinear Hypersurfaces in Biprojective Space
- A new form of the circle method, and its application to quadratic forms.
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