论文标题
三层表面及其自动形态
Tri-Coble surfaces and their automorphisms
论文作者
论文摘要
我们构建了没有周期性曲线的理性表面的一些积极的熵自动形态。所讨论的表面是我们称三层涂层表面的表面,是对射击平面的爆炸,在12分之间,缩水降至三个不同的圆形表面。自动形态是作为贝蒂尼(Bertini)的升力的组成而产生的,从一定程度的1个弱的del pezzo表面产生。
We construct some positive entropy automorphisms of rational surfaces with no periodic curves. The surfaces in question, which we term tri-Coble surfaces, are blow-ups of the projective plane at 12 points which have contractions down to three different Coble surfaces. The automorphisms arise as compositions of lifts of Bertini involutions from certain degree 1 weak del Pezzo surfaces.