4 papers
K-theory of Weighted Blowups
Veronica Arena, Alessio Cela, Alberto Landi +1
We compute the K-theory of weighted blowups of smooth stacks satisfying the resolution property along smooth centers. As an application, we determine the K-theory of the stack of s…
Logarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow rings
Veronica Arena, Terry Dekun Song
The logarithmic Hilbert scheme of a logarithmic curve parametrizes subschemes on the expanded degenerations of the curve that are transverse to the boundary. We prove that the loga…
A criterion for smooth weighted blow-downs
Veronica Arena, Andrea Di Lorenzo, Giovanni Inchiostro +3
We establish a criterion for determining when a smooth Deligne-Mumford stack is a weighted blow-up. More precisely, given a smooth Deligne-Mumford stack and a Cartier…
Holomorphic forms and non-tautological cycles on moduli spaces of curves
Veronica Arena, Samir Canning, Emily Clader +4
We prove, for infinitely many values of and , the existence of non-tautological algebraic cohomology classes on the moduli space of smooth, genus-, $n…