Vincenzo Antonelli

activity

20182026

most citedCharacterization of Ulrich bundles on Hirzebruch surfaces

6 citations · 11 across the 9 of their papers we have counts for

collaborators

10 papers

math.AG2026

Stratification of moduli spaces of instantons on the Segre product of three lines via 't Hooft bundles

Vincenzo Antonelli, Francesco Malaspina

Let $X$ be the Segre product of three projective lines. For a fixed effective divisor $D$ on $X$ , we introduce the notions of $D$ -'t Hooft, $(D_{i}, D_{j})$ -special and $D$ -sectional sp…

math.AG2023

't Hooft bundles on the complete flag threefold and moduli spaces of instantons

Vincenzo Antonelli, Francesco Malaspina, Simone Marchesi +1

In this work we study the moduli spaces of instanton bundles on the flag twistor space $F := F (0, 1, 2)$ . We stratify them in terms of the minimal twist supporting global sections and…

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.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…

math.AG2021★ 5 cited

Even and odd instanton bundles on Fano threefolds

Vincenzo Antonelli, Gianfranco Casnati, Ozhan Genc

We define non-ordinary instanton bundles on Fano threefolds $X$ extending the notion of (ordinary) instanton bundles. We determine a lower bound for the quantum number of a non-ord…

math.AG2021

Instanton bundles on $P^{1} \times F_{1}$

Vincenzo Antonelli, Gianfranco Casnati, Ozhan Genc

In this paper we deal with a particular class of rank two vector bundles (\emph{instanton} bundles) on the Fano threefold of index one $F := F_{1} \times P^{1}$ . We sho…

math.AG2020

H-instanton bundles on three-dimensional polarized projective varieties

Vincenzo Antonelli, Francesco Malaspina

We propose a notion of instanton bundle (called $H$ -instanton bundle) on any projective variety of dimension three polarized by a very ample divisor $H$ , that naturally generalizes…

math.AG2019

Instanton bundles on the Segre threefold with Picard number three

Vincenzo Antonelli, Francesco Malaspina

We study instanton bundles $E$ on $P^{1} \times P^{1} \times P^{1}$ . We construct two different monads which are the analog of the monads for instanton bundles…

math.AG2018★ 6 cited

Characterization of Ulrich bundles on Hirzebruch surfaces

Vincenzo Antonelli

In this work we characterize Ulrich bundles of any rank on polarized rational ruled surfaces over $P^{1}$ . We show that every Ulrich bundle admits a resolution in terms of l…

Stratification of moduli spaces of instantons on the Segre product of three lines via 't Hooft bundles

't Hooft bundles on the complete flag threefold and moduli spaces of instantons

On varieties with Ulrich twisted conormal bundles

Steiner representations of hypersurfaces

Instanton sheaves on projective schemes

Even and odd instanton bundles on Fano threefolds

Instanton bundles on P1×F1​

H-instanton bundles on three-dimensional polarized projective varieties

Instanton bundles on the Segre threefold with Picard number three

Characterization of Ulrich bundles on Hirzebruch surfaces

Instanton bundles on $P^{1} \times F_{1}$