15 citations · 77 across the 33 of their papers we have counts for
6 papers · 1 filter
Complements and coregularity of Fano varieties
Fernando Figueroa, Stefano Filipazzi, Joaquín Moraga +1
We study the relation between the coregularity, the index of log Calabi-Yau pairs, and the complements of Fano varieties. We show that the index of a log Calabi-Yau pair of…
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…
Index of coregularity zero log Calabi-Yau pairs
Stefano Filipazzi, Mirko Mauri, Joaquín Moraga
In this article, we study the index of log Calabi--Yau pairs of coregularity 0. We show that , where is the Weil index of . This is in contrast…
Coregularity of Fano varieties
Joaquín Moraga
The regularity of a Fano variety, denoted by , is the largest dimension of the dual complex of a log Calabi--Yau structure on . The coregularity is defined to be \…
On the boundedness of singularities via normalized volume
Yuchen Liu, Joaquín Moraga, Hendrik Süß
In this article we study conjectures regarding normalized volume and boundedness of singularities. We focus on singularities with a torus action of complexity 1, threefold singular…
Log canonical thresholds and coregularity
Fernando Figueroa, Joaquín Moraga, Junyao Peng
We prove the ascending chain condition for log canonical thresholds of bounded coregularity.