Vincenzo Antonelli

activity

20182021

collaborators

4 papers

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

Characterization of Ulrich bundles on Hirzebruch surfaces