Rank two bundles on Pn$ {\mathbf {P}}^{n}$ with isolated cohomology

Abstract

AbstractThe purpose of this paper is to study minimal monads associated to a rank two vector bundle on . In particular, we study situations where has for , except for one pair of values . We show that on , if , then must be decomposable. More generally, we show that for , there is no indecomposable bundle for which all intermediate cohomology modules except for are zero.