Claudio Pedrini

activity

20242026

collaborators

5 papers

math.AG2026

Kuznetsov components and transcendental motives of cubic fourfolds

Claudio Pedrini

Let $X \subset ¶^5_{\C}$ be a smooth cubic fourfold.The Kuznetsov component $\sA_X$ is contained in the derived category $D^{b} (X)$ and the transcendental motive $t (X)$ is contained…

math.AG2026

Kuznetsov components ans transcendental motives of cubic fourfolds

Claudio Pedrini

Let $X \subset ¶^5_{\C}$ be a smooth cubic fourfold.The Kuznetsov component $\sA_X$ is contained in the derived category $D^{b} (X)$ and the transcendental motive $t (X)$ is contained…

math.AG2026

The Chow motive of LSV hyper-Kälher manifolds

Claudio Pedrini

Let $X$ be a smooth cubic fourfold over $\C$ and let $π: \sJ_U \to U$, with $U \subset (¶^{5})^{*}$ , be the Lagrangian fibration whose fibres are the smooth hyperplane sections $Y_ H…

math.AG2025

Rational cubic fourfolds with a symplectic group of automorphisms

Claudio Pedrini

A well known conjecture asserts that a cubic fourfold X is rational if it has a cohomologically associated K3 surface. G.Ouchi proved that if X admits a finite group G of symplecti…

math.AG2024

K3 surfaces associated to a cubic fourfold

Claudio Pedrini

Let $X \subset ¶^{5}$ be a smooth cubic fourfold. A well known conjecture asserts that $X$ is rational if and only if there an Hodge theoretically associated K3 surface $S$ . The surfa…