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arXiv · 1711.09324

The irreducibility of the generalized Severi varieties

Adrian Zahariuc
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Abstract

We give an inductive proof that the generalized Severi varieties -- the varieties which parametrize (irreducible) plane curves of given degree and genus, with a fixed tangency profile to a given line at several general fixed points and several mobile points -- are irreducible.

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Adrian Zahariuc. 2017-11-26. The irreducibility of the generalized Severi varieties. https://doi.org/10.1112/plms.12269

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