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arXiv 2108.12653math.DS
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香肠

Sausages

Danny Calegari

摘要:

移位轨迹是一个复变数的归一化多项式空间,其中每个临界点都在无穷大的吸引盆中。香肠的方法给出了一个(典型的)分解的移位轨迹在每一个度到(可数许多)余维0子流形,其中每一个同胚的一个复杂的代数簇。在本文中,我们解释了香肠的方法,以及它的一些后果。这是一篇临时论文。

英文摘要:

The shift locus is the space of normalized polynomials in one complex variable for which every critical point is in the attracting basin of infinity. The method of sausages gives a (canonical) decomposition of the shift locus in each degree into (countably many) codimension 0 submanifolds, each of which is homeomorphic to a complex algebraic variety. In this paper we explain the method of sausages, and some of its consequences. This is an expository paper.

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。

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