### Abstract

A refined version of Manin's conjecture about the asymptotics of points of bounded height on Fano varieties has been developed by Batyrev and the authors. We test numerically this refined conjecture for some diagonal cubic surfaces.

Original language | English (US) |
---|---|

Pages (from-to) | 367-387 |

Number of pages | 21 |

Journal | Mathematics of Computation |

Volume | 70 |

Issue number | 233 |

State | Published - Jan 2001 |

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### ASJC Scopus subject areas

- Algebra and Number Theory
- Applied Mathematics
- Computational Mathematics

### Cite this

*Mathematics of Computation*,

*70*(233), 367-387.

**Tamagawa numbers of diagonal cubic surfaces, numerical evidence.** / Peyre, Emmanuel; Tschinkel, Yuri.

Research output: Contribution to journal › Article

*Mathematics of Computation*, vol. 70, no. 233, pp. 367-387.

}

TY - JOUR

T1 - Tamagawa numbers of diagonal cubic surfaces, numerical evidence

AU - Peyre, Emmanuel

AU - Tschinkel, Yuri

PY - 2001/1

Y1 - 2001/1

N2 - A refined version of Manin's conjecture about the asymptotics of points of bounded height on Fano varieties has been developed by Batyrev and the authors. We test numerically this refined conjecture for some diagonal cubic surfaces.

AB - A refined version of Manin's conjecture about the asymptotics of points of bounded height on Fano varieties has been developed by Batyrev and the authors. We test numerically this refined conjecture for some diagonal cubic surfaces.

UR - http://www.scopus.com/inward/record.url?scp=0035606002&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035606002&partnerID=8YFLogxK

M3 - Article

VL - 70

SP - 367

EP - 387

JO - Mathematics of Computation

JF - Mathematics of Computation

SN - 0025-5718

IS - 233

ER -