Tri-Coble曲面及其自同构

IF 0.7 1区数学 Q2 MATHEMATICS

Journal of Modern Dynamics Pub Date : 2020-03-03 DOI:10.3934/JMD.2021008

John Lesieutre

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引用次数: 4

摘要

我们构造了一些不具有周期曲线的有理曲面的正熵自同构。所讨论的曲面，我们称之为三Coble曲面，是投影平面在12个点上的放大，这些点收缩到三个不同的Coble曲面。自同构是由一定程度1弱del Pezzo曲面上的Bertini对合的提升的合成。

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Tri-Coble surfaces and their automorphisms

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.

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来源期刊

Journal of Modern Dynamics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Modern Dynamics (JMD) is dedicated to publishing research articles in active and promising areas in the theory of dynamical systems with particular emphasis on the mutual interaction between dynamics and other major areas of mathematical research, including: Number theory Symplectic geometry Differential geometry Rigidity Quantum chaos Teichmüller theory Geometric group theory Harmonic analysis on manifolds. The journal is published by the American Institute of Mathematical Sciences (AIMS) with the support of the Anatole Katok Center for Dynamical Systems and Geometry at the Pennsylvania State University.