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Postulation of Disjoint Unions of Lines and a Multiple Point, II

Name: Postulation of Disjoint Unions of Lines and a Multiple Point, II
Creator: Ballico, Edoardo
Keywords: Mathematics - Algebraic Geometry, FOS: Mathematics, 14N05, 14H99, Algebraic Geometry (math.AG)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Jul 2015Embargo end date: 01 Jan 2014 Italy Publisher:Springer Science and Business Media LLCJournal:Mediterranean Journal of Mathematics, volume 13, pages 1,449-1,463 (issn: 1660-5446, eissn: 1660-5454,

Authors: Ballico, Edoardo;

doi: 10.1007/s00009-015-0611-6 , 10.48550/arxiv.1405.0121

arXiv: http://arxiv.org/abs/1405.0121

handle: 11572/153570

Postulation of Disjoint Unions of Lines and a Multiple Point, II

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Abstract

We study the postulation of a general union $X\subset \mathbb {P}^3$ of one m-point $mP$ and $t$ disjoint lines. We prove that it has the expected Hilbert function, proving a conjecture by E. Carlini, M. V. Catalisano and A. V. Geramita.

Country

Italy

Related Organizations

University of Trento
Italy

Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, 14N05, 14H99, Algebraic Geometry (math.AG)

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