107 citations · 407 across the 33 of their papers we have counts for
29 papers · 1 filter
The intrinsic approach to moduli theory
Jarod Alper, Daniel Halpern-Leistner
Moduli theory has captured the imagination of algebraic geometers for at least two centuries. Up until the end of the 20th century, moduli spaces were constructed and studied by ri…
Structure results for torus fixed loci
Jarod Alper, Felix Janda
Motivated by localization theorems on moduli spaces, we prove a structural classification of Deligne-Mumford stacks with an action of a torus where the induced action on the coarse…
Coherently complete algebraic stacks in positive characteristic
Jarod Alper, Jack Hall, David Benjamin Lim
With the long-term goal of proving local structure theorems of algebraic stacks in positive characteristic near points with reductive (but possibly non-linearly reductive) stabiliz…
Projectivity of the moduli space of vector bundles on a curve
Jarod Alper, Pieter Belmans, Daniel Bragg +2
We discuss the projectivity of the moduli space of semistable vector bundles on a curve of genus . This is a classical result from the 1960s, obtained using geometric inva…
Artin algebraization for pairs with applications to the local structure of stacks and Ferrand pushouts
Jarod Alper, Daniel Halpern-Leistner, Jack Hall +1
We give a variant of Artin algebraization along closed subschemes and closed substacks. Our main application is the existence of étale, smooth, or syntomic neighborhoods of closed…
The étale local structure of algebraic stacks
Jarod Alper, Jack Hall, David Rydh
We prove that an algebraic stack with affine stabilizers over an arbitrary base is étale-locally a quotient stack around any point with a linearly reductive stabilizer. This genera…