G. Bini

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math.AG2025

Varieties with pseudoeffective canonical divisor and their Kodaira dimension

Gilberto Bini

Let X be a smooth, projective variety over the field of complex numbers. Here we focus on a conjecture attributed to Shigefumi Mori, which claims that X is uniruled if and only if…

math.AG2025

Cones of Cycles on blowups of $(P^{1})^{n}$

Gilberto Bini, Luca Ugaglia

We study cones of pseudoeffective cycles on the blow up of $(P^{1})^{n}$ at points in very general position, proving some results concerning their structure. In particular we…

math.AG2024

Nonvanishing and Abundance for cones of movable divisors

Gilberto Bini, Maria Chiara Brambilla, Claudio Fontanari +1

Let $Mov^{k} (X)$ be the closure of the cone $Mov^{k} (X)$ generated by classes of effective divisors on a projective variety $X$ with stable base locus of c…

math.AG2024

Zero-cycles and the Cayley-Oguiso automorphism

Gilberto Bini, Robert Laterveer

Cayley and Oguiso have constructed certain quartic K3 surfaces $S$ , with automorphisms $g$ of infinite order. We show that when $g$ is symplectic (resp. anti-symplectic), it acts a…

Varieties with pseudoeffective canonical divisor and their Kodaira dimension

Cones of Cycles on blowups of (P1)n

Nonvanishing and Abundance for cones of movable divisors

Zero-cycles and the Cayley-Oguiso automorphism

Cones of Cycles on blowups of $(P^{1})^{n}$