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THE MORDELL–LANG CONJECTURE FOR SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC

Part of: Arithmetic algebraic geometry Arithmetic problems. Diophantine geometry

Published online by Cambridge University Press:  08 September 2023

DRAGOS GHIOCA Open the ORCID record for DRAGOS GHIOCA [Opens in a new window]  and
SHE YANG Open the ORCID record for SHE YANG [Opens in a new window]
DRAGOS GHIOCA*
Affiliation:
Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver V6T 1Z2, Canada
SHE YANG
Affiliation:
Beijing International Center for Mathematical Research, Peking University, Beijing 100871, PR China e-mail: ys-yx@pku.edu.cn
*
e-mail: dghioca@math.ubc.ca
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Abstract

Let G be a semiabelian variety defined over 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

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 109 , Issue 2 , April 2024 , pp. 254 - 264
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

The first author is supported by a Discovery NSERC grant, while the second author is supported by an NSFC Grant (No. 12271007).

References

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