Duality of space curves and their tangent surfaces in characteristic \(p>0\)
type: Item
instance of: scholarly article
title: Duality of space curves and their tangent surfaces in characteristic \(p>0\)
zbMATH Open document ID: 0766.14022
DOI: 10.1007/BF02384338
author: Masaaki Homma
published in: Arkiv för Matematik
publication date: 1992-09-27T00:00:00Z
review text: Let \(X\) be a nondegenerate curve in projective \(N\)-space over an algebraically closed field. Let \(0=b_ 0<\dots<b_ N\) be the sequence of integers consisting of the possible intersection multiplicities of \(X\) with hyperplanes at a general point of \(X\). In characteristic 0, there is only one possibility for such a sequence, namely \(0,1,\dots,N\). For \(N=3\), in positive characteristic, there are 5 possible types of sequences \(b_ 0,\dots,b_ 3\). The author characterizes these types in terms of the reflexivity (or nonreflexivity) of \(X\) and of its tangent surface Tan\(X\).
Mathematics Subject Classification ID: 14H50
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 14N05
zbMATH DE Number: 60549
zbMATH Keywords: duality of space curves
zbMATH Keywords: characteristic \(p\)
zbMATH Keywords: multiplicities
zbMATH Keywords: reflexivity
zbMATH Keywords: tangent surface
reviewed by: Iustin Coandă
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 60549