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Degenerating families of rank two bundles

Authors:	N Mohan Kumar Chris Peterson A Prabhakar Rao

Institution:	Department of Mathematics, Washington University, Saint Louis, Missouri 63130 ; Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523 ; Department of Mathematics, University of Missouri - St. Louis, Saint Louis, Missouri 63121

Abstract:	We construct families of rank two bundles $\mathcal{E}_t$ on $\mathbf{P}^4$ , in characteristic two, where for $t\neq 0$ , $\mathcal{E}_t$ is a sum of line bundles, and $\mathcal{E}_0$ is non-split. We construct families of rank two bundles $\mathcal{E}_t$ on $\mathbf{P}^3$ , in characteristic , where for $t\neq 0$ , $\mathcal{E}_t$ is a sum of line bundles, and $\mathcal{E}_0$ is non-split.

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