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摘要翻译：
设f是一个可定义函数，足够可微。在正则值c的无穷远处有强孤立奇点的条件下，给出了用全绝对曲率函数表示的保证函数f在c的邻域上局部平凡的充分条件，从而提供了关于无穷远处有孤立奇点的复多项式的Parusinski定理的驯服版本。
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英文标题：
《Tame Functions with strongly isolated singularities at infinity: a tame
version of a Parusinski's Theorem》
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作者：
V. Grandjean
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Logic 逻辑
分类描述：Logic, set theory, point-set topology, formal mathematics
逻辑，集合论，点集拓扑，形式数学
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一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
Let f be a definable function, enough differentiable. Under the condition of having strongly isolated singularities at infinity at a regular value c we give a sufficient condition expressed in terms of the total absolute curvature function to ensure the local triviality of the function f over a neighbourhood of c and doing so providing the tame version of Parusinski's Theorem on complex polynomials with isolated singularities at infinity.
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PDF链接：
https://arxiv.org/pdf/0708.2474
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