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arXiv 1401.6544math.AG
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多项式f:C2 -> c在无穷远处的分支轨迹和分支

Bifurcation locus and branches at infinity of a polynomial f : C2 -> c

Zbigniew Jelonek, Mihai Tibar

摘要:

证明了多项式函数f:C2 -> C在无穷远处的歧点个数至多等于f的一般纤维在无穷远处的分支数,并且在某些情况下,这个上界可以减1.

英文摘要:

We show that the number of bifurcation points at infinity of a polynomial function f : C2 -> C is at most the number of branches at infinity of a generic fiber of f and that this upper bound can be diminished by one in certain cases.

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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