3 papers
math.AG2026
Close connectedness of the moduli stack of reduced curves
Sebastian Bozlee
We prove that the moduli stack of all reduced -pointed curves is ``closely connected'' in characteristic zero, in the sense that each irreducible component of the stack intersec…
math.AG2024
Connectedness of the moduli space of all reduced curves
Sebastian Bozlee
Using moduli of equinormalized curves and Ishii's theory of territories, we prove that the moduli stack of all reduced n-pointed algebraic curves of fixed arithmetic genus is conne…
math.AG2019
Contractions of subcurves of families of log curves
Sebastian Bozlee
Let be a nodal curve, and let be a union of semistable subcurves of . We consider the problem of contracting the connected components of to singularities in a way th…