Vincenzo Antonelli

activity

20182026

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10 papers · 1 filter

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

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…