Tamagawa numbers of diagonal cubic surfaces, numerical evidence

Emmanuel Peyre, Yuri Tschinkel

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)367-387
Number of pages21
JournalMathematics of Computation
Volume70
Issue number233
StatePublished - Jan 2001

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Cubic Surface
Fano Variety
Evidence

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics
  • Computational Mathematics

Cite this

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

In: Mathematics of Computation, Vol. 70, No. 233, 01.2001, p. 367-387.

Research output: Contribution to journalArticle

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