62 citations · 681 across the 66 of their papers we have counts for
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math.AG2013★ 13 cited
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.…
math.AC2013★ 24 cited
Local cohomology modules of a smooth Z-algebra have finitely many associated primes
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
Let be a commutative Noetherian ring that is a smooth -algebra. For each ideal of and integer , we prove that the local cohomology module has f…
math.AC2013
Annihilators of Artinian modules compatible with a Frobenius map
Mordechai Katzman, Wenliang Zhang
In this paper we consider Artinian modules over power series rings endowed with a Frobenius map. We describe a method for finding the set of all prime annihilators of submodules wh…