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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:
We construct families of rank two bundles on , in characteristic two, where for , is a sum of line bundles, and is non-split. We construct families of rank two bundles on , in characteristic , where for , is a sum of line bundles, and is non-split.
References:
- 1.
- N. Mohan Kumar, Smooth Degeneration of Complete Intersection Curves in Positive Characteristic. Inventiones Mathematicae 104 (1991), pp. 313-319. MR 92m:14039
- 2.
- 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).
- 3.
- 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
- 4.
- P. Schwartau, Liaison Addition and Monomial Ideals. Ph.D. Thesis, Brandeis University (1982).
- 5.
- H. Tango. On morphisms from projective space
to the Grass mann variety . 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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