On the Number of Rational Points of Bounded Height on Smooth Bilinear Hypersurfaces in Biprojective Space

Marcello Robbiani

Type: Article

Publication Date: 2001-02-01

Citations: 23

DOI: https://doi.org/10.1112/s0024610700001617

Abstract

Asymptotic formulae for the number of rational points of bounded height on flag varieties have earlier been established. In the paper these asymptotic formulae are recovered by a new method for varieties in biprojective space defined over Q that are isomorphic to the flag variety of lines in hyperplanes. The result is obtained by an application of Heath-Brown's new form of the circle method. It serves as a pointer to the investigation of rational points of bounded height on varieties in multiprojective space.

Locations

Journal of the London Mathematical Society - View
reroDoc Digital Library - View - PDF
Repository for Publications and Research Data (ETH Zurich) - View - PDF

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+	Manin's conjecture for toric varieties	1995	Victor V. Batyrev Yuri Tschinkel
+	Rational Points of Bounded Height on Compactifications of Anisotropic Tori	1994	Victor V. Batyrev Yuri Tschinkel
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+	Forms in many variables	1962	B. J. Birch