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The isotrivial case in the Mordell-Lang conjecture for semiabelian varieties defined over fields of positive characteristic

Part of: Arithmetic problems. Diophantine geometry Arithmetic algebraic geometry

Published online by Cambridge University Press:  13 January 2025

Dragos Ghioca Open the ORCID record for Dragos Ghioca [Opens in a new window]
Dragos Ghioca*
Affiliation:
Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, V6T 1Z2, Canada
*
e-mail: dghioca@math.ubc.ca
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Abstract

Let G be a semiabelian variety defined over a finite subfield of an algebraically closed field K of prime characteristic. We describe the intersection of a subvariety X of G with a finitely generated subgroup of $G(K)$.

Keywords

Semiabelian varietiesfinite fieldsMordell–Lang conjecture

MSC classification

Primary: 11G10: Abelian varieties of dimension $> 1$
Secondary: 14G17: Positive characteristic ground fields
Type
Article
Information
Canadian Mathematical Bulletin , First View , pp. 1 - 16
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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