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Flag Higher Nash Blowups
Authors:Takehiko Yasuda
Institution:1. Department of Mathematics and Computer Science, Faculty of Science , Kagoshima University , Kagoshima, Japan yasuda@sci.kagoshima-u.ac.jp
Abstract:In his previous article, the author has defined a higher version of the Nash blowup. In this article, we will introduce another higher version and prove that it is compatible with products and smooth morphisms. We will also prove that the product of curves can be desingularized via both versions.
Keywords:Higher Nash blowup  Hilbert scheme of points
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