Fernando Figueroa

collaborators

3 papers

math.AG2024

Algebraic tori in the complement of quartic surfaces

Eduardo Alves da Silva, Fernando Figueroa, JoaquÃn Moraga

Let $B \subset P^{3}$ be an slc quartic surface. The existence of an embedding $G_{m}^{3} ↪ P^{3} ∖ B$ implies that $B$ has coregularity zero.…

math.AG2024

Complements and coregularity of Fano varieties

Fernando Figueroa, Stefano Filipazzi, JoaquÃn 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 $(X, B)$ of…

math.AG2024

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…