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arxiv: 0810.2117 · v1 · submitted 2008-10-12 · 🧮 math.AG

Linear systems in P³ with low degrees and low multiplicities

classification 🧮 math.AG
keywords linearballicobeenbrambillacasescompleteddegreedegrees
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We prove that the linear system of hypersurfaces in P^3 of degree d, 14 <= d <= 40, with double, triple and quadruple points in general position are non-special. This solves the cases that have not been completed in a paper by E. Ballico and M.C. Brambilla.

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