Flag higher Nash blowups

Mathematics – Algebraic Geometry

Scientific paper

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16 pages

Scientific paper

In his previous paper, the author has defined a higher version of the Nash
blowup and considered it a possible candidate for the one-step resolution. In
this paper, we will introduce another higher version of the Nash blowup 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.

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