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arXiv · 2511.08792

Higher Nash blow-ups and Nobile theorem

Shravan Saoji
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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.

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Shravan Saoji. 2025-11-11. Higher Nash blow-ups and Nobile theorem. https://arxiv.org/abs/2511.08792

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