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A cohomological interpretation of Bogomolov's instability


Author: Gabriele Di Cerbo
Journal: Proc. Amer. Math. Soc. 141 (2013), 3049-3053
MSC (2010): Primary 14F17, 14J60
DOI: https://doi.org/10.1090/S0002-9939-2013-11621-7
Published electronically: June 5, 2013
MathSciNet review: 3068958
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Abstract: We give a new proof of Bogomolov's instability theorem. Furthermore, we prove that it is equivalent to a statement which characterizes when the first cohomology group of a suitable divisor does not vanish.


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Additional Information

Gabriele Di Cerbo
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544-1000
Email: gdi@math.princeton.edu

DOI: https://doi.org/10.1090/S0002-9939-2013-11621-7
Received by editor(s): September 28, 2011
Received by editor(s) in revised form: December 4, 2011
Published electronically: June 5, 2013
Communicated by: Lev Borisov
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.