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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Degenerating families of rank two bundles

Author(s): N. Mohan Kumar; Chris Peterson; A. Prabhakar Rao
Journal: Proc. Amer. Math. Soc. 131 (2003), 3681-3688.
MSC (2000): Primary 14F05, 13D02, 14J60, 32L05, 13A35
Posted: May 8, 2003
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Abstract | References | Similar articles | Additional information

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 $p$, 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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N. Mohan Kumar, Construction of Rank Two Vector Bundles on Projective Spaces. To appear in Proceedings of the Bombay International Colloquium on Algebra, Arithmetic and Geometry, TIFR (2000).

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S. Kleiman, Geometry on Grassmannians and applications to splitting bundles and smoothing cycles. Inst. Hautes Études Sci. Publ. Math 36 (1969), pp. 281-297. MR 42:281

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P. Schwartau, Liaison Addition and Monomial Ideals. Ph.D. Thesis, Brandeis University (1982).

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H. Tango. On morphisms from projective space ${\mathbf{P}}^n$ to the Grass mann variety ${\mathbf{Gr}}(n, d)$. Journal of Mathematics of Kyoto University 16 no. 1, 201-207, 1976. MR 53:5614


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Additional Information:

N. Mohan Kumar
Affiliation: Department of Mathematics, Washington University, Saint Louis, Missouri 63130
Email: kumar@math.wustl.edu

Chris Peterson
Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
Email: peterson@math.colostate.edu

A. Prabhakar Rao
Affiliation: Department of Mathematics, University of Missouri - St. Louis, Saint Louis, Missouri 63121
Email: rao@arch.umsl.edu

DOI: 10.1090/S0002-9939-03-07071-0
PII: S 0002-9939(03)07071-0
Received by editor(s): September 9, 2001
Received by editor(s) in revised form: July 20, 2002
Posted: May 8, 2003
Additional Notes: The authors would like to thank the NSF for partial support of this project
Communicated by: Michael Stillman
Copyright of article: Copyright 2003, American Mathematical Society


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