Good failures for fat points in P2

DOI10.1080/00927870008827192zbMath0989.14018OpenAlexW2088761106MaRDI QIDQ2707895

Luca Chiantini, Edoardo Ballico

Publication date: 24 July 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008827192

zbMATH Keywords

Hilbert functionminimal free resolutiondefectfat pointsresiduedouble pointsinfinitesimal neighborhoodHorace lemma

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Cites Work

• La methode d'Horace pour l'interpolation à plusieurs variables
• Nodal curves and postulation of generic fat points on \(\mathbb{P}^2\)
• The minimal free resolution for the first infinitesimal neighborhoods of \(n\) general points in the plane
• An asymptotic vanishing theorem for generic unions of multiple points
• Systèmes linéaires de courbes planes à singularités ordinaires imposées

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