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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math.AG2020

On the local étale fundamental group of KLT threefold singularities

Javier Carvajal-Rojas, Axel Stäbler, János Kollár

Let $S$ be KLT threefold singularity over an algebraically closed field of positive characteristic $p > 5$ . We prove that its local étale fundamental group is tame and finite. Furthe…

math.AG2019★ 2 cited

Tame fundamental groups of pure pairs and Abhyankar's lemma

Javier Carvajal-Rojas, Axel Stäbler

Let $(R, m, k)$ be a strictly local normal $k$ -domain of positive characteristic and $P$ be a prime divisor on $X = Spec R$ . We study the Galois category of finite…

math.AG2016★ 3 cited

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 $τ$ on the category of coherent Cartier modules. We show that in m…

math.AG2013

$V$ -filtrations in positive characteristic and test modules

Axel Stäbler

Let $R$ be a ring essentially of finite type over an $F$ -finite field. Given an ideal $a$ and a principal Cartier module $M$ we introduce the notion of a $V$ -filtration…

math.AG2013

On a question of Mehta and Pauly

Holger Brenner, Axel Stäbler

In this short note we provide explicit examples in characteristic $p$ on certain smooth projective curves where for a given semistable vector bundle $E$ the length of the…

math.AG2011

On the behaviour of strong semistability in geometric deformations