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Geometric properties of jet schemes

2010/03/25 by Shihoko Ishii, Ishii, Shihoko
Mathematics · Physics and Astronomy · #14J10 #14J17 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1003.4874

openalex publication_date 2010/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper shows how properties of jet schemes relate to those of the singularity on the base scheme. We will see that the jet scheme's properties of being Q-factorial, Q-Gorenstein, canonical, terminal and so on are inherited by the base scheme.

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