幂幺约化与Poincare问题
Unipotent reduction and the Poincare Problem
摘要：
Poincare问题可以归结为纤维曲面上的问题，具体地说，就是利用相关叶理规范层的数值信息来确定纤维化的亏格.在本文中，我们：1。解释如何进行这种减少，2。应用幂幺归约得到问题的一些可能的答案，3.在对叶理奇点的特征值作一些假设的情况下，得到了一个答案
英文摘要：
The Poincare Problem can be reduced to a problem on fibered surfaces, concretely, to bound the genus of the fibration by means of numerical information of the canonical sheaf of the associated foliation. In this paper we: 1. explain how this reduction can be carried out, 2. apply unipotent reduction to obtain some possible answers to the problem, 3. obtain an answer under some hypotheses on the eigenvalues of the singularities of the foliation
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
