Curves in \({\mathbb{P}}^ 3\) whose ideals are simple in a certain numerical sense
type: Item
instance of: scholarly article
title: Curves in \({\mathbb{P}}^ 3\) whose ideals are simple in a certain numerical sense
zbMATH Open document ID: 0653.14023
author: Mutsumi Amasaki
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1987-01-01T00:00:00Z
review text: This paper discusses the problem to decide whether or not a given basic sequence corresponds to a curve in \(P^ 3\) that satisfies certain conditions like smoothness, irreducibility, etc. For simple basic sequences (called neat) an existence theorem for smooth irreducible curves is proved.
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14H99
zbMATH DE Number: 4065168
zbMATH Keywords: basic sequences
zbMATH Keywords: smooth irreducible curves
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195175871
OpenAlex ID: W2002641280
cites work: Preparatory structure theorem for ideals defining space curves
cites work: On the structure of arithmetically Buchsbaum curves in \(P^ 3_ k\)
cites work: Examples of nonsingular irreducible curves which give reducible singular points of \(red(H_{d,g})\)
cites work: The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\)
cites work: Some structure theorems for finite free resolutions
cites work: Linear free resolutions and minimal multiplicity
cites work: Exemples de courbes de \(P^ 3\) à fibre normal semi-stable, stable
cites work: Genre des courbes de l'espace projectif
cites work: Q3693625
cites work: Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
cites work: On the existence of certain families of curves
DOI: 10.2977/PRIMS/1195175871
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description: scientific article; zbMATH DE number 4065168