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Degenerating families of rank two bundles
Authors:N. Mohan Kumar   Chris Peterson   A. Prabhakar Rao
Affiliation: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 $tneq 0$, $mathcal{E}_t$ 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 $p$, where for $tneq 0$, $mathcal{E}_t$ is a sum of line bundles, and $mathcal{E}_0$ is non-split.

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