Enrico Fatighenti

activity

20232025

collaborators

5 papers

math.AG2025

Chern character of Schur bundles

Alessandro D'Andrea, Enrico Fatighenti, Claudio Onorati

Given a vector bundle $E$ , we give an explicit formula to compute Chern classes of Schur bundles $S^{α} E$ in terms of those of $E$ .

math.CO2025

A plethystic chain rule

Alessandro D'Andrea, Enrico Fatighenti, Claudio Onorati

We consider a derivation $D$ on the ring $Λ$ of symmetric functions and investigate its combinatorial, algebraic and geometric properties. More precisely, we show that $\m…

math.AG2025

Higher discriminants of vector bundles and Schur functors

Alessandro D'Andrea, Enrico Fatighenti, Claudio Onorati

We prove some closed formulas for the logarithmic Chern character of a locally free sheaf. The argument used is representation-theoretic and we connect these formulas with the acti…

math.AG2024

Modular vector bundles with and without moduli

Enrico Fatighenti, Claudio Onorati

If $X \subset Gr (2, 6)$ is the Fano variety of lines of a smooth cubic fourfold, then we show that the restriction to $X$ of any Schur functor of the tautological quoti…

math.AG2023

Examples of non-rigid, modular vector bundles on hyperkähler manifolds

Enrico Fatighenti

We exhibit examples of slope-stable and modular vector bundles on a hyperkähler manifold of K3 $^{[2]}$ -type which move in a 20-dimensional family and study their algebraic properti…