148 citations · 912 across the 75 of their papers we have counts for
5 papers · 1 filter
Inversion of adjunction for rational and Du Bois pairs
Sándor J Kovács, Karl Schwede
We prove several results about the behavior Du Bois singularities and Du Bois pairs in families. Some of these generalize existing statements about Du Bois singularities to the pai…
On Rational Connectedness of Globally F-Regular Threefolds
Yoshinori Gongyo, Zhiyuan Li, Zsolt Patakfalvi +3
In this paper, we show that projective globally -regular threefolds, defined over an algebraically closed field of characteristic , are rationally chain connected.
The weak ordinarity conjecture and -singularities
Bhargav Bhatt, Karl Schwede, Shunsuke Takagi
Recently M. Mustata and V. Srinivas related a natural conjecture about the Frobenius action on the cohomology of the structure sheaf after reduction to characteristic with…
F-singularities in families
Zsolt Patakfalvi, Karl Schwede, Wenliang Zhang
We study the behavior of test ideals and F-singularities in families. In particular, we obtain generic (and non-generic) restriction theorems for test ideals and non-F-pure ideals.…
Rings of Frobenius operators
Mordechai Katzman, Karl Schwede, Anurag K. Singh +1
Let R be a local ring of prime characteristic. We study the ring of Frobenius operators F(E), where E is the injective hull of the residue field of R. In particular, we examine the…