Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Construction of low rank vector bundles on $\mathbf {P}^{4}$ and $\mathbf {P}^{5}$

Authors: N. Mohan Kumar, Chris Peterson and A. Prabhakar Rao
Journal: J. Algebraic Geom. 11 (2002), 203-217
Published electronically: November 20, 2001
MathSciNet review: 1874112
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Abstract | References | Additional Information

Abstract: We describe a technique which permits a uniform construction of a number of low rank bundles, both known and new. In characteristic two, we obtain rank two bundles on $\mathbf {P}^{5}$. In characteristic $p$, we obtain rank two bundles on $\mathbf {P}^4$ and rank three bundles on $\mathbf {P}^5$. In arbitrary characteristic, we obtain rank three bundles on $\mathbf {P}^4$ and rank two bundles on the quadric $S_5$ in $\mathbf {P}^6$.

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Additional Information

N. Mohan Kumar
Affiliation: Department of Mathematics, Washington University, Saint Louis, Missouri 63130

Chris Peterson
Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
MR Author ID: 359254

A. Prabhakar Rao
Affiliation: Department of Mathematics, University of Missouri - Saint Louis, Saint Louis, Missouri 63121

Received by editor(s): May 11, 2000
Published electronically: November 20, 2001