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摘要翻译：
对实代数函数引入实对数规范阈值和实跳跃数。一个真正的跳跃数是$B$-函数的根，如果它与最小值的差值小于1。实对数正则阈值是最小实跳跃数，它与由函数绝对值的复幂定义的分布的最大极点重合。但是，如果函数的实零轨迹的余维数大于1，则这个数可能大于1。因此，它不一定与B-函数直到一个符号的最大根重合，也不一定与复化的对数规范阈值重合。实际上，真实的跳跃数甚至可以与复化的非积分跳跃数不相交。
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英文标题：
《On real log canonical thresholds》
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作者：
Morihiko Saito
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最新提交年份：
2007
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分类信息：
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：
We introduce real log canonical threshold and real jumping numbers for real algebraic functions. A real jumping number is a root of the $b$-function up to a sign if its difference with the minimal one is less than 1. The real log canonical threshold, which is the minimal real jumping number, coincides up to a sign with the maximal pole of the distribution defined by the complex power of the absolute value of the function. However, this number may be greater than 1 if the codimension of the real zero locus of the function is greater than 1. So it does not necessarily coincide with the maximal root of the b-function up to a sign, nor with the log canonical threshold of the complexification. In fact, the real jumping numbers can be even disjoint from the non-integral jumping numbers of the complexification.
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PDF链接：
https://arxiv.org/pdf/0707.2308
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