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arxiv: math/0407169 · v1 · submitted 2004-07-09 · 🧮 math.AG

Halphen conditions and postulation of nodes

classification 🧮 math.AG
keywords halphennodespostulationtheoryboundscastelnuovoconditionsconnected
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We give sharp lower bounds for the postulation of the nodes of a general plane projection of a smooth connected curve C in P^r and we study the relationships with the geometry of the embedding. Strict connections with Castelnuovo's theory and Halphen's theory are shown.

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