Counting imaginary quadratic points via universal torsors
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Publication:2931762
DOI10.1112/S0010437X13007902zbMath1360.11061arXiv1302.6151MaRDI QIDQ2931762
Christopher Frei, Ulrich Derenthal
Publication date: 27 November 2014
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.6151
Quadratic extensions (11R11) Rational points (14G05) Counting solutions of Diophantine equations (11D45)
Related Items (5)
Imaginary quadratic points on toric varieties via universal torsors ⋮ Rational points of bounded height and the Weil restriction ⋮ The split torsor method for Manin’s conjecture ⋮ Manin's conjecture for certain spherical threefolds ⋮ Algebraic points, non-anticanonical heights and the Severi problem on toric varieties
Cites Work
- Unnamed Item
- Binary forms as sums of two squares and Châtelet surfaces
- Integration of semialgebraic functions and integrated Nash functions
- Counting rational points over number fields on a singular cubic surface
- Manin's conjecture for quartic del Pezzo surfaces with a conic fibration
- Manin's conjecture for a quartic del Pezzo surface with \(\mathbb A_3\) singularity and four lines
- Manin's conjecture for a singular sextic del Pezzo surface
- On Manin's conjecture for a family of Châtelet surfaces
- The nef cone volume of generalized del Pezzo surfaces
- La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
- Rational points of bounded height on Fano varieties
- On the number of rational points of bounded height on algebraic varieties
- Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques. (Integration of subanalytic functions and volumes of subanalytic subspaces)
- On the distribution of points of bounded height on equivariant compactifications of vector groups.
- Number of points of bounded height on del Pezzo surfaces of degree 5
- Heights and Tamagawa measures on Fano varieties
- Manin's conjecture for a quartic del Pezzo surface with \(A_{4}\) singularity
- On a constant arising in Manin's conjecture for del Pezzo surfaces
- On Manin's conjecture for singular del Pezzo surfaces of degree 4. I
- Sur la conjecture de Manin pour certaines surfaces de Châtelet
- On the factor alpha in Peyre’s constant
- Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups
- Manin's conjecture for two quartic del Pezzo surfaces with 3 \mathbfA1and \mathbfA1+ \mathbfA2singularity types
- Lipschitz class, narrow class, and counting lattice points
- Manin's conjecture for a singular quartic del Pezzo surface
- Forms in many variables
- Counting algebraic numbers with large height II
- Heights in number fields
- Tamagawa numbers of diagonal cubic surfaces, numerical evidence
- Rational Points of Bounded Height on Compactifications of Anisotropic Tori
- On Manin's conjecture for a certain singular cubic surface
- Répartition des points rationnels sur la cubique de Segre
- Singular del Pezzo surfaces whose universal torsors are hypersurfaces
- Counting imaginary quadratic points via universal torsors, II
- On a certain senary cubic form
- On a Principle of Lipschitz
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