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

 

On monoidal transformations of coherent sheaves


Author: Joshua H. Rabinowitz
Journal: Proc. Amer. Math. Soc. 74 (1979), 389-390
MSC: Primary 32C45
MathSciNet review: 524324
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Abstract: We prove that the monoidal transformation of a coherent sheaf S is torsion-free if and only if S is locally-free.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0524324-1
PII: S 0002-9939(1979)0524324-1
Keywords: Coherent analytic sheaf, locally-free sheaf, torsion-free sheaf, monoidal transformation
Article copyright: © Copyright 1979 American Mathematical Society