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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Decomposability criterion for linear sheaves

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Author(s):
Jardim, Marcos [1] ; da Silva, Vitor M. F. [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Central European Journal of Mathematics; v. 10, n. 4, p. 1292-1299, AUG 2012.
Web of Science Citations: 2
Abstract

We establish a decomposability criterion for linear sheaves on a{''}(TM) (n) . Applying it to instanton bundles, we show, in particular, that every rank 2n instanton bundle of charge 1 on a{''}(TM) (n) 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. (AU)

FAPESP's process: 05/04558-0 - Symmetries in geometry, topology and mathematical physics
Grantee:Alcibiades Rigas
Support Opportunities: Research Projects - Thematic Grants