Polarized morphisms between abelian varieties

Mehdi Fabien Pazuki

doi:10.1142/S1793042112501394

Polarized morphisms between abelian varieties

Mehdi Fabien Pazuki

2 Citationer (Scopus)

671 Downloads (Pure)

Abstract

In this paper, we will study the dynamical Manin-Mumford problem, focusing on the question of polarizability for endomorphisms of an abelian variety A and on the action of a Frobenius and its Verschiebung on the diagonal subvariety of A × A. We complete the study with different polarizability criteria.

Originalsprog	Engelsk
Tidsskrift	International Journal of Number Theory
Vol/bind	9
Udgave nummer	2
ISSN	1793-0421
DOI	https://doi.org/10.1142/S1793042112501394
Status	Udgivet - mar. 2013
Udgivet eksternt	Ja

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10.1142/S1793042112501394

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Citationsformater

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AB - In this paper, we will study the dynamical Manin-Mumford problem, focusing on the question of polarizability for endomorphisms of an abelian variety A and on the action of a Frobenius and its Verschiebung on the diagonal subvariety of A × A. We complete the study with different polarizability criteria.

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Polarized morphisms between abelian varieties

Abstract

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