Construction of rank two bundles on ${\mathbf{P}}^4$ in positive characteristic

Abstract

Many examples of rank two bundles on ${\mathbf{P}}^4$ are constructed in positive characteristic. Construction depends on constructing certain special bundles on ${\mathbf{P}}^3$ which is shown to be equivalent to constructing bundles on ${\mathbf{P}}^4$ (in any characteristic). In fact this is true for projective spaces of any dimension.

arXiv commentLatex. Bibtex is necessary to get the references right. See the note at the beginining of text