The irreducibility of the generalized Severi varieties
arXiv:1711.09324 · doi:10.1112/plms.12269
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.
arXiv comment32 pages, 4 tikz figures. Comments are welcome!