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arxiv: 1203.5946 · v1 · pith:TZJQLJQKnew · submitted 2012-03-27 · 🧮 math.AG

A few remarks about the Hilbert scheme of smooth projective curves

classification 🧮 math.AG
keywords curveshilbertprojectiveschemesmoothconjecturesdegreedimension
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We discuss two conjectures by Francesco Severi and Joe Harris about the irreducibility and the dimension of the Hilbert scheme parameterizing smooth projective curves of given degree and genus.

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