32 citations · 56 across the 5 of their papers we have counts for
6 papers · 1 filter
A "bottom up" characterization of smooth Deligne-Mumford stacks
Anton Geraschenko, Matthew Satriano
In casual discussion, a stack is often described as a variety (the coarse space) together with stabilizer groups attached to some of its subvarieties. However, this description doe…
There is no degree map for 0-cycles on Artin stacks
Dan Edidin, Anton Geraschenko, Matthew Satriano
We show that there is no way to define degrees of 0-cycles on Artin stacks with proper good moduli spaces so that (i) the degree of an ordinary point is non-zero, and (ii) degrees…
Formal GAGA for good moduli spaces
Anton Geraschenko, David Zureick-Brown
We prove formal GAGA for good moduli space morphisms under an assumption of "enough vector bundles" (which holds for instance for quotient stacks). This supports the philosophy tha…
Torus Quotients as Global Quotients by Finite Groups
Anton Geraschenko, Matthew Satriano
This article is motivated by the following local-to-global question: is every variety with tame quotient singularities globally the quotient of a smooth variety by a finite group?…
Toric Stacks II: Intrinsic Characterization of Toric Stacks
Anton Geraschenko, Matthew Satriano
The purpose of this paper and its prequel (Toric Stacks I) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in…
Toric Stacks I: The Theory of Stacky Fans
Anton Geraschenko, Matthew Satriano
The purpose of this paper and its sequel (Toric Stacks II) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in…