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math.AG2020★ 4 cited
Degeneration of curves on some polarized toric surfaces
Karl Christ, Xiang He, Ilya Tyomkin
We address the following question: Given a polarized toric surface (S,L), and a general integral curve C of geometric genus g in the linear system |L|, do there exist degenerations…
math.AG2020★ 6 cited
On the Severi problem in arbitrary characteristic
Karl Christ, Xiang He, Ilya Tyomkin
In this paper, we show that Severi varieties parameterizing irreducible reduced planar curves of a given degree and geometric genus are either empty or irreducible in any character…