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Affine varieties with stably trivial algebraic vector bundles
Author(s):
Zbigniew
Jelonek
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3105-3109.
MSC (2010):
Primary 14R10
Posted:
April 29, 2010
MathSciNet review:
2653935
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Abstract:
Let  be an algebraically closed field. For every affine variety  with dim  we construct a smooth affine variety  which is birationally equivalent to  and which possesses a stably trivial but not trivial algebraic vector bundle. We give some application of this fact to the cancellation problem.
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Additional Information:
Zbigniew
Jelonek
Affiliation:
Instytut Matematyczny, Polska Akademia Nauk, Sniadeckich 8, 00-956 Warszawa, Poland
Email:
najelone@cyf-kr.edu.pl
DOI:
10.1090/S0002-9939-10-10401-8
PII:
S 0002-9939(10)10401-8
Keywords:
Algebraic vector bundle,
cancellation problem
Received by editor(s):
December 15, 2008
Received by editor(s) in revised form:
August 21, 2009 and December 9, 2009
Posted:
April 29, 2010
Additional Notes:
The author was partially supported by a grant from the Polish Ministry of Science, 2010-2013
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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