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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Splitting criterion for reflexive sheaves

Authors: Takuro Abe and Masahiko Yoshinaga
Journal: Proc. Amer. Math. Soc. 136 (2008), 1887-1891
MSC (2000): Primary 14J60
Published electronically: February 11, 2008
MathSciNet review: 2383493
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Abstract: We give a criterion for a reflexive sheaf to split into a direct sum of line bundles.

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Additional Information

Takuro Abe
Affiliation: Department of Mathematics, Hokkaido University, Sapporo 060–0810, Japan

Masahiko Yoshinaga
Affiliation: The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste 34014, Italy
Address at time of publication: Department of Mathematics, Kobe University, Kobe 657-8501, Japan

PII: S 0002-9939(08)09367-2
Keywords: Splitting criterion, reflexive sheaves, hyperplane arrangement
Received by editor(s): May 22, 2006
Published electronically: February 11, 2008
Communicated by: Ted Chinburg
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.