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Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic

Part of: Arithmetic problems. Diophantine geometry Arithmetic algebraic geometry

Published online by Cambridge University Press:  02 May 2023

DRAGOS GHIOCA  and
SINA SALEH
DRAGOS GHIOCA
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada. e-mail: dghioca@math.ubc.ca
SINA SALEH
Affiliation:
Department of Mathematics, Harvard University, Cambridge, MA 02138, U.S.A. e-mail: sinasaleh@math.harvard.edu
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Abstract

We prove the Zariski dense orbit conjecture in positive characteristic for regular self-maps of split semiabelian varieties.

MSC classification

Primary: 11G10: Abelian varieties of dimension $> 1$
Secondary: 14G17: Positive characteristic ground fields
Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 175 , Issue 3 , November 2023 , pp. 479 - 519
Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Cambridge Philosophical Society

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