We establish a decomposability criterion for linear sheaves on ℙn. Applying it to instanton bundles, we show, in particular, that every rank 2n instanton bundle of charge 1 on ℙn is decomposable. Moreover, we provide an example of an indecomposable instanton bundle of rank 2n − 1 and charge 1, thus showing that our criterion is sharp.
@article{bwmeta1.element.doi-10_2478_s11533-012-0074-y,
author = {Marcos Jardim and Vitor Silva},
title = {Decomposability criterion for linear sheaves},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {1292-1299},
zbl = {1278.14015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0074-y}
}
Marcos Jardim; Vitor Silva. Decomposability criterion for linear sheaves. Open Mathematics, Tome 10 (2012) pp. 1292-1299. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0074-y/
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