Endomorphisms of a variety of Ueno type and Kawaguchi-Silverman Conjecture

2024/01/09 by Keiji Oguiso, Oguiso, Keiji
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2401.04386

Abstract

We first show that the moniod of separable surjective self morphisms of a variety of Ueno type coincides with the group of automorphisms. We also give an explicit description of the automorphism group. As applications, we confirm Kawaguchi Silverman Conjecture for automorphisms of a variety of Ueno type and some Calabi-Yau threefolds, defined over \Q.

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