29 citations · 74 across the 13 of their papers we have counts for
13 papers
ODD Metrics
Lukas Braun
We introduce the concept of ODD ('rthogonally egenerating on a ivisor') Riemannian metrics on real analytic manifolds . These semipositive sy…
Orbifold Kähler-Einstein metrics on projective toric varieties
Lukas Braun
In this short note, we investigate the existence of orbifold Kähler-Einstein metrics on toric varieties. In particular, we show that every -factorial normal projective…
Reductive covers of klt varieties
Lukas Braun, Joaquín Moraga
In this article, we study -covers of klt varieties, where is a reductive group. First, we exhibit an example of a klt singularity admitting a $\mathbb{P}{\rm GL}_n(\mathbb{K…
Reductive quotients of klt singularities
Lukas Braun, Daniel Greb, Kevin Langlois +1
We prove that the quotient of a klt type singularity by a reductive group is of klt type. In particular, given a klt variety endowed with the action of a reductive group an…
Iteration of Cox rings of klt singularities
Lukas Braun, Joaquín Moraga
Given a klt singularity , we define the iteration of Cox rings of . The first result of this article is that the iteration of Cox rings o…
The Jordan property for local fundamental groups
Lukas Braun, Stefano Filipazzi, Joaquín Moraga +1
We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index one covers…