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

By Keiji Oguiso, Tuyen T. T. Truong. 2013

67 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/958a01578e2d1d1ba24ee4179b1cf53b03187aa4

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In Geometry and Topology

  1. N. Sibony
  2. T. Dinh
  3. De-Qi Zhang
  4. Tuyen T. T. Truong
  5. Franccois Berteloot
  6. Romain Dujardin
  7. Nguyen-Bac Dang
  8. Vincent Guedj

In Mathematical Physics

  1. T. Dinh
  2. N. Sibony
  3. Nguyen-Bac Dang
  4. De-Qi Zhang
  5. Franccois Berteloot
  6. Tuyen T. T. Truong
  7. Romain Dujardin
  8. Vincent Guedj

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