A new proof of the Alexander-Hirschowitz interpolation theorem

DOI10.1007/s10231-010-0175-9zbMath1249.14002arXiv1003.0323OpenAlexW2135925362MaRDI QIDQ666280

Elisa Postinghel

Publication date: 8 March 2012

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0323

zbMATH Keywords

linear systemsdegenerationspolynomial interpolationdouble points

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05)

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Cites Work

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• Enumerative geometry of singular plane curves
• La methode d'Horace pour l'interpolation à plusieurs variables
• Generic hypersurface singularities
• The blowing up Horace method: Application to interpolation in degree four
• On the Alexander-Hirschowitz theorem
• A brief proof of a maximal rank theorem for generic double points in projective space
• Degenerations of Planar Linear Systems
• Linear systems of plane curves with base points of equal multiplicity

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