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arxiv: 1405.0121 · v1 · pith:WY4MQJFWnew · submitted 2014-05-01 · 🧮 math.AG

Postulation of disjoint unions of lines and a multiple point, II

classification 🧮 math.AG
keywords disjointlinespostulationcarlinicatalisanoconjectureexpectedfunction
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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.

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