Higher Nash blow-ups and Nobile theorem

Fuente: arXiv
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Main Author: Saoji, Shravan
Format: Preprint
Published: 2025
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author Saoji, Shravan
author_facet Saoji, Shravan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_08792
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Higher Nash blow-ups and Nobile theorem
Saoji, Shravan
Algebraic Geometry
14E15 (Primary) 14B05 (Secondary)
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.
title Higher Nash blow-ups and Nobile theorem
topic Algebraic Geometry
14E15 (Primary) 14B05 (Secondary)
url https://arxiv.org/abs/2511.08792