Continuous families of rational surface automorphisms with positive entropy
Continuous families of rational surface automorphisms with positive entropy
复制标题
具有正熵的有理面自同构的连续族
DOI：
10.1007/s00208-010-0498-2
复制
发表时间：
2008
影响因子：
1.4
通讯作者：
Kyounghee Kim
中科院分区：
文献类型：
--
作者：
E. Bedford;Kyounghee Kim
对于任意k，我们构造了具有正熵的有理曲面自同构的k-参数族。这些是曲面$${\mathcal{X}}$$的自同构，它们是由射影平面上的迭代爆破构造的。在某些情况下，我们能够确定$${\mathcal{X}}$$的精确自同构群，以及当这些曲面中的两个不等价时。
For any k we construct k-parameter families of rational surface automorphisms with positive entropy. These are automorphisms of surfaces $${\mathcal{X}}$$, which are constructed from iterated blowups over the projective plane. In certain cases we are able to determine the exact automorphism group of $${\mathcal{X}}$$, as well as when two of these surfaces are inequivalent.