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

机译：具有原始性的理性和Calabi-Yau三折的明确例子正熵的自同构

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We present the first explicit examples of a rational threefold and aCalabi-Yau threefold, admitting biregular automorphisms of positive entropy notpreserving any dominant rational maps to lower positive dimensional varieties.The most crucial part is the rationality of the quotient threefold of a3-dimensional torus of product type.

机译：我们提出有理三重和aCalabi-Yau三重的第一个显式示例，承认正熵的双正则自同构不保留任何优势有理图到较低的正维数变种。最关键的部分是a3维环的商三倍的合理性产品类别。

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Oguiso, Keiji; Truong, Tuyen Trung;
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年度 2013
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正文语种 {"code":"en","name":"English","id":9}
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1. Rn空间上具有正曲率和负曲率的度量一些例子 [J] . 朱大新, 侯文华, 等数学季刊：英文版 . 1995,第002期
2. Explicit Examples of Rational and Calabi-Yau Threefolds with Primitive Automorphisms of Positive Entropy [J] . Oguiso Keiji, Truong Tuyen Trung Journal of mathematical sciences, The University of Tokyo . 2015,第1期

机译：具有正熵的原始自同构的有理和Calabi-Yau三重性的显式示例
3. Explicit Examples of Rational and Calabi-Yau Threefolds with Primitive Automorphisms of Positive Entropy [J] . Oguiso Keiji, Truong Tuyen Trung Journal of mathematical sciences, The University of Tokyo . 2015,第1期

机译：具有正熵的原始自同构的有理和Calabi-Yau三重性的显式示例
4. A criterion for the primitivity of a birational automorphism of a Calabi-Yau manifold and an application [J] . Oguiso Keiji Mathematical research letters: MRL . 2018,第1期

机译：Calabi-yau歧管的自然自动态性和应用的原始性标准
5. Complete intersection Calabi-Yau threefolds in Hibi toric varieties and their smoothing [C] . Makoto Miura Summer Workshop on Lattice Polytopes . 2019

机译：在Hibi Toric品种的完整卡拉巴 - 紫外三倍及其平滑
6. Cohomological Insights for Complex Surface Automorphisms with Positive Entropy. [D] . Reschke, Paul. 2013

机译：具有正熵的复杂表面自同构的同伦见解。
7. ENTROPY A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS [O] . R. L. Adler, B. Weiss 1967

机译：熵圆环自体的完整度量不变
8. A criterion for the primitivity of a birational automorphism of a Calabi-Yau manifold and an application [O] . Oguiso, Keiji 2017

机译：一个双向自同构的原始性的一个判据 Calabi-Yau流形和应用程序

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

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