English

Higher Nash blow-ups and Nobile theorem

Algebraic Geometry 2025-11-13 v1

Abstract

We study the higher Nash blow-ups introduced by T. Yasuda and investigate the higher version of the classical Nobile's theorem. In particular, we give a characteristic free proof of the higher Nobile's theorem for the graded case. We also give a proof for the 2nd order Nash blow-ups in characteristic zero.

Cite

@article{arxiv.2511.08792,
  title  = {Higher Nash blow-ups and Nobile theorem},
  author = {Shravan Saoji},
  journal= {arXiv preprint arXiv:2511.08792},
  year   = {2025}
}

Comments

16 pages

R2 v1 2026-07-01T07:33:03.796Z