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arXiv math/0401396math.AGmath.CV
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空间前沿的奇点交换

Singularity exchange at the frontier of the space

Dirk Siersma, Mihai Tibar

摘要:

在多项式函数的变形中,当奇点从空间中消失并产生对极限多项式的拓扑有影响的“虚”奇点时,人们可能会遇到“无穷远处的奇点交换”。我们发现了这种交换现象的几个规则,其中奇点的总量一般不守恒。

英文摘要:

In deformations of polynomial functions one may encounter ``singularity exchange at infinity'' when singular points disappear from the space and produce ``virtual'' singularities which have an influence on the topology of the limit polynomial. We find several rules of this exchange phenomenon, in which the total quantity of singularity turns out to be not conserved in general.

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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