On the generic hyperplane section of curves in positive characteristic
type: Item
instance of: scholarly article
title: On the generic hyperplane section of curves in positive characteristic
zbMATH Open document ID: 0858.14016
DOI: 10.1016/0022-4049(94)00085-W
author: E. Ballico
author: Antonio Cossidente
published in: Journal of Pure and Applied Algebra
publication date: 1996-07-11T00:00:00Z
review text: Let \(C\) be a curve in the projective \(n\)-space over an algebraically closed field of positive characteristic, having the property that every secant line to \(C\) is at least a trisecant line (this cannot happen in characteristic zero). The authors prove results on the postulation and the index of regularity of a generic hyperplane section \(S\) of \(C\). They also prove that certain natural groups cannot be isomorphic to the monodromy groups for the family of hyperplane sections of \(C\).
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 14G15
zbMATH DE Number: 810237
zbMATH Keywords: hyperplane sections of a curve
zbMATH Keywords: positive characteristic
zbMATH Keywords: trisecant line
zbMATH Keywords: postulation
zbMATH Keywords: index of regularity
zbMATH Keywords: monodromy groups
reviewed by: Lucian Bădescu
MaRDI profile type: Publication
cites work: On Singular Curves in the Case of Positive Characteristic
cites work: Q4695152
cites work: Q4697398
cites work: Q4887544
cites work: On the galois group associated to a generically etale morphism
cites work: Strange curves
cites work: Q3747267
cites work: Finite Permutation Groups and Finite Simple Groups
cites work: Q3684278
cites work: Galois groups of enumerative problems
cites work: Q3851217
cites work: Q3033882
cites work: Q3975507
cites work: Q3950667
cites work: p-solvable doubly transitive permutation groups
cites work: The uniform position principle for curves in characteristic p
cites work: Automorphisms of Finite Linear Groups
cites work: Q3918647
cites work: Q5512231
full work available at URL: 0022-4049(94)00085-w
OpenAlex ID: W1967295574
description: scientific article; zbMATH DE number 810237