A. Stäbler

activity

20112020

most citedDagger closure in regular rings containing a field

6 citations · 16 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.AC2019★ 5 cited

On the behavior of $F$ -signatures, splitting primes, and test modules under finite covers

Javier Carvajal-Rojas, Axel Stäbler

We give a comprehensive treatment on how $F$ -signatures, splitting primes, splitting ratios, and test modules behave under finite covers. To this end, we expand on the notion of tr…

math.AC2014

Bernstein-Sato polynomials and test modules in positive characteristic

Manuel Blickle, Axel Stäbler

In analogy with the complex analytic case, Mustaţă constructed (a family of) Bernstein-Sato polynomials for the structure sheaf $O_{X}$ and a hypersurface $(f = 0)$ in $X$ , w…

math.AC2011★ 6 cited

Dagger closure in regular rings containing a field

Holger Brenner, Axel Stäbler

We prove that dagger closure is trivial in regular domains containing a field and that graded dagger closure is trivial in polynomial rings over a field. We also prove that Heitman…

On the behavior of F-signatures, splitting primes, and test modules under finite covers

Bernstein-Sato polynomials and test modules in positive characteristic

Dagger closure in regular rings containing a field

On the behavior of $F$ -signatures, splitting primes, and test modules under finite covers