具有正熵本原自同构的有理三维流形与 Calabi-Yau 三维流形的显式例子
代数几何
2013-11-14 v3 复变函数
动力系统
摘要
我们给出了首个有理三维流形和 Calabi-Yau 三维流形的显式例子，它们容许正熵的双正则自同构，且不保持任何到低维正维数簇的主导有理映射。最关键的部分是乘积型三维环面的商三维流形的有理性。
引用
@article{arxiv.1306.1590,
title = {Explicit Examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy},
author = {Keiji Oguiso and Tuyen Trung Truong},
journal= {arXiv preprint arXiv:1306.1590},
year = {2013}
}
备注
17 pages, no figure, new section 3 (preliminary section for dynamical degrees and relative dynamical degrees for dominant meromorphic maps) is added and several proofs are polished up