Curves in \({\mathbb{P}}^ 3\) whose ideals are simple in a certain numerical sense

DOI10.2977/PRIMS/1195175871zbMath0653.14023OpenAlexW2002641280MaRDI QIDQ1107595

Mutsumi Amasaki

Publication date: 1987

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195175871

zbMATH Keywords

basic sequencessmooth irreducible curves

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Curves in algebraic geometry (14H99)

Related Items (2)

Application of the Generalized Weierstrass Preparation Theorem to the Study of Homogeneous Ideals ⋮ Generators of graded modules associated with linear filter-regular sequences

Cites Work

• Unnamed Item
• The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\)
• Linear free resolutions and minimal multiplicity
• On the existence of certain families of curves
• Preparatory structure theorem for ideals defining space curves
• Exemples de courbes de \(P^ 3\) à fibre normal semi-stable, stable
• On the structure of arithmetically Buchsbaum curves in \(P^ 3_ k\)
• Examples of nonsingular irreducible curves which give reducible singular points of \(red(H_{d,g})\)
• Some structure theorems for finite free resolutions
• Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
• Genre des courbes de l'espace projectif

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