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Halphen conditions and postulation of nodes

L. Chiantini, N. Chiarli, S. Greco

math.AGarXiv:math/0407169

Abstract

We give sharp lower bounds for the postulation of the nodes of a general plane projection of a smooth connected curve C in Pr 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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