Manin's conjecture for toric varieties

Victor V. Batyrev, Yuri Tschinkel

Research output: Contribution to journalArticle

Abstract

We prove an asymptotic formula conjectured by Manin for the number of K-rational points of bounded height with respect to the anticanonical line bundle for arbitrary smooth projective toric varieties over a number field K.

Original languageEnglish (US)
Pages (from-to)15-53
Number of pages39
JournalJournal of Algebraic Geometry
Volume7
Issue number1
StatePublished - Jan 1998

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Toric Varieties
Rational Points
Line Bundle
Asymptotic Formula
Number field
Arbitrary

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Manin's conjecture for toric varieties. / Batyrev, Victor V.; Tschinkel, Yuri.

In: Journal of Algebraic Geometry, Vol. 7, No. 1, 01.1998, p. 15-53.

Research output: Contribution to journalArticle

Batyrev, Victor V. ; Tschinkel, Yuri. / Manin's conjecture for toric varieties. In: Journal of Algebraic Geometry. 1998 ; Vol. 7, No. 1. pp. 15-53.
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