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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]
- Maksym Fedorchuk, Severi varieties and the moduli space of curves, Ph.D. thesis, 2008.
- Joe Harris and Ian Morrison. Moduli of curves, volume 187 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1998.
 | This algebraic geometry–related article is a stub. You can help Wikipedia by expanding it. |
| This article includes a list of general
references, but it lacks sufficient corresponding
inline citations. (June 2019) |
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]
- Maksym Fedorchuk, Severi varieties and the moduli space of curves, Ph.D. thesis, 2008.
- Joe Harris and Ian Morrison. Moduli of curves, volume 187 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1998.
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| This algebraic geometry–related article is a stub. You can help Wikipedia by expanding it. |