Vincenzo Antonelli

activity

20242026

collaborators

3 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.AG2025

'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.AG2024

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…