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There is no Bogomolov type restriction theorem for strong semistability in positive characteristic
Author(s):
Holger
Brenner
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1941-1947.
MSC (2000):
Primary 14J60, 14H60, 13A35
Posted:
January 31, 2005
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Abstract:
We give an example of a strongly semistable vector bundle of rank two on the projective plane such that there exist smooth curves of arbitrary high degree with the property that the restriction of the bundle to the curve is not strongly semistable anymore. This shows that a Bogomolov type restriction theorem does not hold for strong semistability in positive characteristic.
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Additional Information:
Holger
Brenner
Affiliation:
Department of Pure Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH, United Kingdom
Email:
H.Brenner@sheffield.ac.uk
DOI:
10.1090/S0002-9939-05-07843-3
PII:
S 0002-9939(05)07843-3
Received by editor(s):
February 10, 2004
Received by editor(s) in revised form:
March 20, 2004
Posted:
January 31, 2005
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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