Sulla seminormalità delle superficie algebriche
type: Item
instance of: scholarly article
title: Sulla seminormalità delle superficie algebriche
zbMATH Open document ID: 0446.14015
author: Caterina Cumino
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1977-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/107669
review text: In this paper the author proves that a surface \(S\) in \(\mathbb P^4\) is seminormal if and only if its singular points are of the following three types: (1) isolated normal points; (2) isolated double points with tangent cone composed of two planes intersecting in one point; (3) curves \(C\) of points of multiplicity 2 or 3 (generically) and of ``general type'' (roughly, at the generic point of \(C\) the tangent cone is composed of 2, resp. 3, planes with a line in common and otherwise independent). This result proves also that a generic projection in \(\mathbb P^4\) of a non-singular surface (of characteristic 0) is seminormal.
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14J25
zbMATH DE Number: 3697279
zbMATH Keywords: classification of surface singularity
zbMATH Keywords: seminormal surface
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3697279