### 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 language | English (US) |
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Pages (from-to) | 15-53 |

Number of pages | 39 |

Journal | Journal of Algebraic Geometry |

Volume | 7 |

Issue number | 1 |

State | Published - Jan 1998 |

### ASJC Scopus subject areas

- Algebra and Number Theory
- Geometry and Topology

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## Cite this

Batyrev, V. V., & Tschinkel, Y. (1998). Manin's conjecture for toric varieties.

*Journal of Algebraic Geometry*,*7*(1), 15-53.