2 papers
math.AG2026
The irreducibility of Hurwitz spaces and Severi varieties on toric surfaces
Karl Christ, Xiang He, Ilya Tyomkin
In 1969, Fulton introduced classical Hurwitz spaces parametrizing simple d-sheeted coverings of the projective line in the algebro-geometric setting. He established the irreducibil…
math.AG2026
Balancing properties of tropical moduli maps
Karl Christ, Xiang He, Ilya Tyomkin
Given a family of parameterized algebraic curves over a strictly semistable pair, we show that the simultaneous tropicalization of the curves in the family forms a family of parame…