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.AG2026
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.AG2026
A stratification of moduli of arbitrarily singular curves
Sebastian Bozlee, Christopher Guevara, David Smyth
We introduce a new moduli stack of "equinormalized curves," closely related to the moduli space of all reduced, connected algebraic curves. We construct a strat…