5 citations · 6 across the 5 of their papers we have counts for
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Fundamental Groups and Coregularity: Klt Pairs with Trivial and Nef Log-Anticanonical Class
Lukas Braun, Fernando Figueroa
In this article, we study how the absolute coregularity of a projective log pair reflects on its fundamental group. More precisely, we show that for a projective klt log pair $(X,D…
Algebraic tori in the complement of quartic surfaces
Eduardo Alves da Silva, Fernando Figueroa, Joaquín Moraga
Let be an slc quartic surface. The existence of an embedding implies that has coregularity zero.…
Fundamental groups, coregularity, and low dimensional klt Calabi-Yau pairs
Lukas Braun, Fernando Figueroa
In this article, we study how the absolute coregularity of a projective log pair reflects on its fundamental group. More precisely, we conjecture that for a projective klt log pair…
Optimal bounds for many T-singularities in stable surfaces
Fernando Figueroa, Julie Rana, Giancarlo Urzúa
We effectively bound T-singularities on non-rational projective surfaces with an arbitrary amount of T-singularities and ample canonical class. This fully generalizes the previous…
Fundamental groups of low-dimensional lc singularities
Fernando Figueroa, Joaquín Moraga
In this article, we study the fundamental groups of low-dimensional log canonical singularities, i.e., log canonical singularities of dimension at most . In dimension , we sh…
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…
On the geography of line arrangements
Sebastian Eterović, Fernando Figueroa, Giancarlo Urzúa
This is a short note on various results about the combinatorial properties of line arrangements in terms of the Chern numbers of the corresponding log surfaces. This resembles the…