Feuilletages et transformations périodiques
Feuilletages et transformations périodiques
摘要:
贝尔蒂尼对复射影平面的双有理对合进行了分类,但他的几何方法并不容易明确这些映射。在这篇文章中,我们提出了一个有效的方法来解决这个问题,通过关联到每个二次叶的双有理对合,这是在一般情况下,一个盖泽对合,这个问题已经涵盖了盖泽,Milinowski,威廉姆斯和alt。最后,我们做经验,从一些三次叶理得到三重对合。
英文摘要:
Bertini classified the birational involutions of the complex projective plane, but his geometric approach does not allow to explicit these maps easily. In this article, we present an effective approach to this problem by associating to each quadratic foliation a birational involution which is, in the generic case, a Geiser involution; this subject has already been covered by Geiser, Milinowski, Williams and alt. We end by making experiences, obtaining trivolutions from some foliations of degree 3.
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