7 citations · 13 across the 9 of their papers we have counts for
11 papers · 1 filter
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…
Formal GAGA for gerbes
Andrew Kresch, Siddharth Mathur
Fix an -adically complete Noetherian ring and suppose is a proper -scheme. This article concerns the relationship between the Brauer group of and that of the vari…
Smooth hypersurfaces in abelian varieties over arithmetic rings
Ariyan Javanpeykar, Siddharth Mathur
Let be an abelian scheme of dimension at least four over a -finitely generated integral domain of characteristic zero, and let be an ample line bundle on $A…
Unipotent morphisms
Daniel Bragg, Jack Hall, Siddharth Mathur
We introduce the theory of unipotent morphisms of algebraic stacks and prove a surprising local to global principle for a class of vector bundles. Two sample applications of our me…
The resolution property holds away from codimension three
Siddharth Mathur, Stefan Schröer
The purpose of this paper is to verify a conjecture of Gross under mild hypothesis: all reduced, separated, and excellent schemes have the resolution property away from a closed su…
Extending Vector Bundles from Curves
Siddharth Mathur
Given a curve in a (smooth) projective variety , we show that a vector bundle on C can be extended to a (-stable) vector bundle on if $\text{rank}(V) \geq \…