3 papers
math.AG2023
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…
math.AG2023
The integral Chow ring of weighted blow-ups
Veronica Arena, Stephen Obinna, Dan Abramovich
We give a formula for the integral Chow rings of weighted blow-ups. Along the way, we also compute the integral Chow rings of weighted projective stack bundles, a formula for the G…
hep-th2023
Intersection Theory on Weighted Blowups of F-theory Vacua
Veronica Arena, Patrick Jefferson, Stephen Obinna
Generalizing the results of 1211.6077 and 1703.00905, we prove a formula for the pushforward of an arbitrary analytic function of the exceptional divisor class of a weighted blowup…