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Flag higher Nash blowups

Algebraic Geometry 2024-02-27 v1

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.

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Cite

@article{arxiv.math/0610396,
  title  = {Flag higher Nash blowups},
  author = {Takehiko Yasuda},
  journal= {arXiv preprint arXiv:math/0610396},
  year   = {2024}
}

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16 pages