Explicit Examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy

2013/06/07 by Keiji Oguiso, Oguiso, Keiji, Tuyen Trung Truong +1 · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.1306.1590

Abstract

We present the first explicit examples of a rational threefold and a Calabi-Yau threefold, admitting biregular automorphisms of positive entropy not preserving any dominant rational maps to lower positive dimensional varieties. The most crucial part is the rationality of the quotient threefold of a 3-dimensional torus of product type.

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