Higher Nash blowups
Takehiko Yasuda
Abstract
For each non-negative integer n, we define the n-th Nash blowup of an algebraic variety, and call them all higher Nash blowups. When n=1, it coincides with the classical Nash blowup. We study higher Nash blowups of curves in detail and prove that any curve in characteristic zero can be desingularized by its n-th Nash blowup with n large enough.
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