4 papers
Ekedahl's Equivalence Explained
Yuan Yang
Ekedahl's theory relates diagonal complexes to \(F\)-gauges, but turning this equivalence into explicit calculations requires careful control of its constructions. These notes expl…
On de Rham--Witt Cohomology of Classifying Stacks
Shizhang Li, Yuan Yang
We give an example of proper smooth fourfold over a perfect field k of characteristic p > 0 with asymmetric Hodge--Witt numbers in total degree 3. Our example is sharp both in term…
Brauer groups of abelian varieties over fields of finite characteristic
Livia Grammatica, Alexei N. Skorobogatov, Yuan Yang
We study the Brauer group of an abelian variety A over an algebraically closed field of characteristic p focusing on the p-primary torsion, the key part of which is a certain quasi…
p-Primary Torsion of the Brauer Group in Characteristic p
Yuan Yang
Let X be a proper smooth variety over an algebraically closed field k of characteristic p>0. This thesis studies the p-primary component of the Brauer group of X.