Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898920 | Journal of Geometry and Physics | 2007 | 5 Pages |
Abstract
In “Branes, Bundles and Attractors: Bogomolov and Beyond”, by Douglas, Reinbacher and Yau, the authors state the following conjecture: Consider a simply connected surface XX with ample or trivial canonical line bundle. Then, the Chern classes of any stable vector bundle with rank r≥2r≥2 satisfy 2rc2−(r−1)c12−r212c2(X)≥0. The goal of this short note is to provide two sources of counterexamples to this strong version of the Bogomolov inequality.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
L. Costa, R.M. Miró-Roig,