Higher Nash blow-ups and Nobile theorem

2025/11/11 by Saoji, Shravan
#14E15 (Primary) 14B05 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2511.08792

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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• Computational aspects of the higher Nash blowup
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