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math.AG2017★ 2 cited
The irreducibility of the generalized Severi varieties
Adrian Zahariuc
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 prof…
math.AG2017★ 3 cited
Elliptic surfaces and linear systems with fat points
Adrian Zahariuc
We investigate the expected dimensionality of linear systems with general fat points on certain surfaces using an approach by specialization to elliptic surfaces. For the projectiv…