The explicit calculation of čech cohomology and an extension of Davenport's inequality

Ran Tian

Research output: Contribution to journalArticle

Abstract

We extend Davenport's inequality to general elliptic curves over (t) written in Weierstrass forms. The obtained result is an effective version of a result by Voloch, and also improves a bound given by Hindry-Silverman. The method depends on an explicit calculation of the Čech cohomology of sheaves of differentials on an elliptic surface.

Original languageEnglish
Pages (from-to)591-618
Number of pages28
JournalQuarterly Journal of Mathematics
Volume64
Issue number2
DOIs
Publication statusPublished - 2013 Jun 1

ASJC Scopus subject areas

  • Mathematics(all)

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