31 citations · 68 across the 17 of their papers we have counts for
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math.AG2023
On -pure inversion of adjunction
Thomas Polstra, Austyn Simpson, Kevin Tucker
We analyze adjunction and inversion of adjunction for the -purity of divisor pairs in characteristic . In this vein, we give a complete answer for principal divisors unde…
math.AC2023
Primary Decompositions of Regular Sequences
Thomas Polstra
Let be a Noetherian ring and a permutable regular sequence of elements in . Then there exists a finite set of primes and natural number so that for…
math.AC2023
On the Equality of Test Ideals
Ian Aberbach, Craig Huneke, Thomas Polstra
We provide a natural criterion which implies equality of the finitistic test ideal and test ideal in local rings of prime characteristic. Most notably, we show that the criterion i…