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Publications (25)

math.AG2021

A geometric characterization of toric singularities

JoaquÃn Moraga, Roberto Svaldi

Given a projective contraction $I ¨ : X \to Z$ and a log canonical pair $(X, B)$ such that $- (K_{X} + B)$ is nef over a neighborhood of a closed point $z \in Z$ , one can defin…

math.AG2021

Birational boundedness of low dimensional elliptic Calabi-Yau varieties with a section

Gabriele Di Cerbo, Roberto Svaldi

We prove that there are finitely many families, up to isomorphism in codimension one, of elliptic Calabi-Yau manifolds $Y \to X$ with a rational section, provided that $\dim…

math.AG2020

Rational curves and strictly nef divisors on Calabi--Yau threefolds

Haidong Liu, Roberto Svaldi

We give a criterion for a nef divisor $D$ to be semiample on a Calabi--Yau threefold $X$ when $D^{3} = 0 = c_{2} (X) \cdot D$ and $c_{3} (X) \neq = 0$ . As a direct consequence, we show that on suc…

math.AG2025

Variation of algebraically integrable adjoint foliated structures

Paolo Cascini, Jihao Liu, Fanjun Meng +2

Given a canonical algebraically integrable foliation on a klt projective variety, we study the variation of the ample models of the associated adjoint foliated structures with resp…

math.AG2025

On finite generation and boundedness of adjoint foliated structures

Paolo Cascini, Jingjun Han, Jihao Liu +4

We prove the existence of good minimal models for any klt algebraically integrable adjoint foliated structure of general type, and that Fano algebraically integrable adjoint foliat…

math.AG2026

Deformations of fibered Calabi--Yau varieties

Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5

KollÃ¡r showed that small deformations of elliptically fibered smooth $K$ -torsion varieties with $H^{2} (X, O_{X}) = 0$ remain elliptically fibered. We extend this result to any…