Instanton sheaves on projective schemes

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 cohomology table has a certain prescribed shape. In this paper we deal with h-instanton sheaves relating them to Ulrich sheaves. Moreover, we study h-instanton sheaves on smooth curves and surfaces, cyclic n-folds, Fano 3-folds and scrolls over arbitrary smooth curves. We also deal with a family of monads associated to h-instanton bundles on varieties satisfying some mild extra technical conditions. (C) 2022 Elsevier B.V. All rights reserved.