26 citations · 26 across the 5 of their papers we have counts for
5 papers
Height 1 Group Schemes and Prismatic F-Gauges
Shubhodip Mondal, Martin Olsson
We describe the prismatic F-gauge associated to a finite flat height one group scheme over a smooth variety of positive characteristic. As applications, we derive the description o…
Gerbes for trigonalizable group schemes
Noah Olander, Martin Olsson
We prove that smooth, separated Deligne--Mumford stacks in mixed characteristic with quasi-projective coarse moduli space are global quotient stacks and satisfy the resolution prop…
Twisted derived categories and Rouquier functors
Martin Olsson
We study the algebraic structure of the automorphism group of the derived category of coherent sheaves on a smooth projective variety twisted by a Brauer class. Our main results ge…
Hochschild homology for log schemes
Martin Olsson
We extend the notions of Hochschild and cyclic homology to morphisms from algebraic spaces to algebraic stacks. Using this, we obtain generalizations to log schemes in the sense of…
Geometry of Kähler Metrics and Foliations by Holomorphic Discs
X. X. Chen, G. Tian
The purpose of this paper is to establish a completely new partial regularity theory on certain homogeneous complex Monge-Ampere equations. Our partial regularity theory will be ob…