Rational points of bounded height on Fano varieties

1989/06/01 by Jens Franke, Jens Frankē, Yuri I. Manin +1 · 54 citations
Mathematics · #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #Geometry and complex manifolds

paper · doi:10.1007/bf01393904

Cited by

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• The Manin–Peyre formula for a certain biprojective threefold
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• Freeness alone is insufficient for Manin-Peyre
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• Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
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• Height zeta functions of toric bundles over flag varieties
• Campana points on biequivariant compactifications of the Heisenberg group
• The Manin conjecture in dimension 2
• Geometric aspects of Manin's Conjecture
• Distribution of rational points of bounded height on equivariant compactifications of PGL₂ I
• Manin's conjecture for certain biprojective hypersurfaces
• Equidistribution of rational points and the geometric sieve for toric varieties
• Balanced line bundles and equivariant compactifications of homogeneous spaces
• Manin's conjecture for a certain singular cubic surface
• Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
• Integral points of bounded height on toric varieties
• Local distribution of rational points in flag varieties
• The density of rational points on a certain singular cubic surface
• Mean value formulas on sublattices and flags of the random lattice
• Points of bounded height on equivariant compactifications of vector groups, II
• Manin's conjecture for toric varieties
• Del Pezzo surfaces over Dedekind schemes
• Height zeta functions of equivariant compactifications of the Heisenberg group
• Diophantine analysis and Arthur's trace formula
• Rational Points of Bounded Height on Compactifications of Anisotropic Tori
• Rational Points on Weighted projective Spaces
• Homological stability and weak approximation
• Rational points on quartic hypersurfaces
• Binary forms as sums of two squares and Châtelet surfaces
• The Manin-Peyre conjecture for a certain biprojective cubic threefold
• Sums of three squareful numbers
• Counting points on Hilb^mℙ² over function fields
• Integral Diophantine approximation on varieties
• Varieties with too many rational points
• Tamagawa numbers of polarized algebraic varieties
• Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups
• The density of rational points on \ℙ¹ with three stacky\n points
• Rational points on varieties defined by multihomogeneous diagonal forms
• Rational points on certain homogeneous varieties
• An overview of Manin's conjecture for del Pezzo surfaces
• The density of rational points on non-singular hypersurfaces, I
• Mordell-Weil Problem for Cubic Surfaces, Numerical Evidence
• Croissance asymptotique de nombres de Weil appartenant `a un corps de\n nombres fix 'e
• Counting rational points on the Cayley ruled cubic
• Rational Points on Quartics
• An introduction to Geometric Manin's conjecture
• The Batyrev-Tschinkel conjecture for a non-normal cubic surface and its symmetric square
• Density of rational points on some quadric bundle threefolds. [europepmc]