%0 Journal Article
%T Higher Nash blowups
%A Takehiko Yasuda
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0512184v3