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Severi variety (Hilbert scheme)

From Wikipedia, the free encyclopedia

In mathematics, a Severi variety is an algebraic variety in a Hilbert scheme that parametrizes curves in projective space with given degree and geometric genus and at most node singularities. Its dimension is 3d + g − 1.

It is a theorem that Severi varieties are algebraic varieties, i.e. it is irreducible.[citation needed]

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