15 citations · 77 across the 33 of their papers we have counts for
7 papers · 1 filter
Bounding toric singularities with normalized volume
Joaquín Moraga, Hendrik Süß
We study the normalized volume of toric singularities. As it turns out, there is a close relation to the notion of (non-symmetric) Mahler volume from convex geometry. This observat…
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…
Minimal log discrepancies of regularity one
Joaquín Moraga
In this article, we use the cone of nef curves to study minimal log discrepancies. The first result is an improvement of the nef cone theorem in the case of log Calabi-Yau dlt pair…
On termination of flips and fundamental groups
Joaquín Moraga
In this article, we propose a boundedness conjecture for the regional fundamental group of klt singularities. We prove that this boundedness conjecture, the Zariski closedness of t…
A geometric characterization of toric singularities
Joaquín Moraga, Roberto Svaldi
Given a projective contraction and a log canonical pair such that is nef over a neighborhood of a closed point , one can define…
On a toroidalization for klt singularities
Joaquín Moraga
In this article, we prove a toroidalization principle for finite actions on klt singularities. As an application, we prove that the Jordan property for the regional fundamental gro…
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…