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Publication:3139250
zbMath0806.11030MaRDI QIDQ3139250
Publication date: 19 October 1993
Full work available at URL: http://www.numdam.org/item?id=CM_1993__88_2_155_0
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Rational points (14G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Arithmetic algebraic geometry (Diophantine geometry) (11G99) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Geometry of numbers (11H99)
Related Items (15)
Counting subspaces of given height defined over a function field ⋮ Heights and Tamagawa measures on Fano varieties ⋮ A note on Siegel's lemma over number fields ⋮ Mean value formulas on sublattices and flags of the random lattice ⋮ Counting rational points of a Grassmannian ⋮ Adelic Rogers integral formula ⋮ Counting in hyperbolic spikes: The Diophantine analysis of multihomogeneous diagonal equations ⋮ Linear correlations of the divisor function ⋮ The inverse sieve problem for algebraic varieties over global fields ⋮ The relative theorem of Schanuel ⋮ On successive minima and the absolute Siegel's Lemma ⋮ Counting points of fixed degree and bounded height on linear varieties ⋮ Generalised Hermite constants, Voronoi theory and heights on flag varieties ⋮ The Manin conjecture for \(x_0y_0+\dots+x_sy_s=0\) ⋮ Problems and results on the distribution of algebraic points on algebraic varieties
Cites Work
- On Siegel's lemma
- Rational points of bounded height on Fano varieties
- The number of solutions of bounded height to a system of linear equations
- On heights of algebraic subspaces and diophantine approximations
- An Introduction to the Geometry of Numbers
- Heights in number fields
- An Asymptotic Estimate for Heights of Algebraic Subspaces
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