G. Casnati

activity

19962025

most citedIrreducibility of the Gorenstein loci of Hilbert schemes via ray families

39 citations · 90 across the 29 of their papers we have counts for

collaborators

37 papers

math.AG2025

Ulrich and Instanton Bundles on Special Cubic Fourfolds

Gianfranco Casnati, Daniele Faenzi, Federica Galluzzi

We study instanton and Ulrich bundles on hypersurfaces of the projective space, with a focus on special cubic fourfolds and generalized Pfaffians, notably defined by skew-symmetric…

math.AG2023

On varieties with Ulrich twisted conormal bundles

Vincenzo Antonelli, Gianfranco Casnati, Angelo Felice Lopez +1

We study varieties $X \subset P^{r}$ such that is $N_{X}^{*} (k)$ is an Ulrich vector bundle for some integer $k$ . We first prove that such an $X$ must be a curve. Then we give several ex…

math.AG2023★ 1 cited

Tangent, cotangent, normal and conormal bundles are almost never instanton bundles

Gianfranco Casnati

In this very short note we give an elementary characteristic free proof of the result claimed in the title (see Theorem 1.2 for a more precise formulation), generalizing a recent r…

math.AG2022

A remark by Daniel Ferrand on bundles on Fano threefolds

Gianfranco Casnati, Angelo Felice Lopez

Let $X$ be a Fano threefold with index $i_{X}$ and fundamental line bundle $O_{X} (h)$ . We classify $μ$ -semistable rank two bundles $E$ on $X$ with $c_{1} (E) = 0$ …

math.AG2022

Steiner representations of hypersurfaces

Vincenzo Antonelli, Gianfranco Casnati

Let $X \subseteq P^{n + 1}$ be an integral hypersurface of degree $d$ . We show that each locally Cohen-Macaulay instanton sheaf $E$ on $X$ with respect to $\mathcal…

math.AG2022

Instanton sheaves on projective schemes

Vincenzo Antonelli, Gianfranco Casnati

A $h$ -instanton sheaf on a closed subscheme $X$ of some projective space endowed with an ample and globally generated line bundle $O_{X} (h)$ is a coherent sheaf whose cohom…