A cohomological class of vector bundles

Abstract

The goal of this paper is to give a cohomological characterization of F n , t {F_{n,t}} , where F n , t := Ker ⁡ ( ( n + t ; n ) O P n ( − t ) → O P n ) {F_{n,t}}: = \operatorname {Ker} ((n + t;n){\mathcal {O}_{{{\mathbf {P}}^n}}}( - t) \to {\mathcal {O}_{{{\mathbf {P}}^n}}}) .