Flag higher Nash blowups

Abstract

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.

16 pages

References in corpus (1)

• Higher Nash blowups

Cited by in corpus (4)

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• Universal flattening of Frobenius
• A higher-order tangent map and a conjecture on the higher Nash blowup of curves
• Factorization of normalization of Nash blow-up of order n of An by the minimal resolution