Fibres of embedding dimension 2 in generic projections

2015/03/21 by Ziv Ran, Ran, Ziv
Engineering · Mathematics · #14N05 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1503.06352

openalex publication_date 2015/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a general fibre of given length in a generic projection of a va- riety. Under the assumption that the fibre is of local embedding dimension 2 or less, an assumption which can be checked in many cases, we prove that the fibre is reduced and its image on the projected variety is an ordinary multiple point.

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