The theorem of Mather on generic projections for singular varieties

2000/06/09 by Alberto Alzati, A. Alzati, Edoardo Ballico +6
Computer Science · Mathematics · #32C40 14B05 14N05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical and Theoretical Analysis #Polynomial and algebraic computation #math.AG #math.CV #msc:14B05 #msc:14N05 #msc:32C40

paper · pdf · doi:10.48550/arxiv.math/0006072

4 pages, latex, to appear in Geom. Dedicata

arxiv created 2000/06/09 · openalex publication_date 2000/06/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The theorem of Mather on generic projections of smooth algebraic varieties is also proved for the singular ones.

Related

• Singularities of generic projection hypersurfaces
• Fibers of Projections and Submodules of Deformations
• Mather-Jacobian singularities under generic linkage
• Generic Vanishing for Singular Varieties via Du Bois complexes
• Generic vanishing fails for singular varieties and in characteristic p>0