6 citations · 16 across the 6 of their papers we have counts for
9 papers
On the local étale fundamental group of KLT threefold singularities
Javier Carvajal-Rojas, Axel Stäbler, János Kollár
Let be KLT threefold singularity over an algebraically closed field of positive characteristic . We prove that its local étale fundamental group is tame and finite. Furthe…
Tame fundamental groups of pure pairs and Abhyankar's lemma
Javier Carvajal-Rojas, Axel Stäbler
Let be a strictly local normal -domain of positive characteristic and be a prime divisor on . We study the Galois category of finite…
On the behavior of -signatures, splitting primes, and test modules under finite covers
Javier Carvajal-Rojas, Axel Stäbler
We give a comprehensive treatment on how -signatures, splitting primes, splitting ratios, and test modules behave under finite covers. To this end, we expand on the notion of tr…
Functorial Test Modules
Manuel Blickle, Axel Stäbler
In this article we introduce a slight modification of the definition of test modules which is an additive functor on the category of coherent Cartier modules. We show that in m…
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 and a hypersurface in , w…
-filtrations in positive characteristic and test modules
Axel Stäbler
Let be a ring essentially of finite type over an -finite field. Given an ideal and a principal Cartier module we introduce the notion of a -filtration…
On a question of Mehta and Pauly
Holger Brenner, Axel Stäbler
In this short note we provide explicit examples in characteristic on certain smooth projective curves where for a given semistable vector bundle the length of the…
On the behaviour of strong semistability in geometric deformations
Holger Brenner, Axel Stäbler
Let be a relative smooth projective curve over an affine integral base scheme of positive characteristic. We provide for all prime characteristics example classes of…
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…