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arxiv: 1304.5840 · v1 · pith:VJJUHFXMnew · submitted 2013-04-22 · 🧮 math.AG

Nodal curves and components of the Hilbert scheme of curves in mathbb {P}^r with the expected number of moduli

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keywords curvesnumbercomponentsexpectedhilbertmathbbmodulinodal
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We study the existence of components with the expected number of moduli of the Hilbert scheme of integral nodal curves $C \subset \mathbb {P}^r$ with prescribed degree, arithmetic genus and number of singular points.

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