论文标题

飞机的新一类可集成地图:带有相关曲线的manin变换

New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves

论文作者

van der Kamp, Peter H.

论文摘要

对于立方铅笔,我们定义了涉及曲线的概念。这是一条曲线,它与铅笔的一个非基准点相交。相关曲线可用于构建平面的可集成图,这些图将不变的立方铅笔留下。

For cubic pencils we define the notion of an involution curve. This is a curve which intersects each curve of the pencil in exactly one non-base point of the pencil. Involution curves can be used to construct integrable maps of the plane which leave invariant a cubic pencil.

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