Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-28T02:59:25.568Z Has data issue: false hasContentIssue false

A positive characteristic Manin–Mumford theorem

Published online by Cambridge University Press:  04 December 2007

Thomas Scanlon
Affiliation:
Department of Mathematics, University of California, Berkeley, Evans Hall, Berkeley, CA 94720-3840, [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We present the details of a model-theoretic proof of an analogue of the Manin–Mumford conjecture for semiabelian varieties in positive characteristic. As a by-product of the proof we reduce the general positive-characteristic Mordell–Lang problem to a question about purely inseparable points on subvarieties of semiabelian varieties.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2005