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Analytic sheaf

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A sheaf on an analytic space such that for any point the set is a module over the ring of germs of holomorphic functions at the point , and such that the mapping , defined on the set of pairs where , , is a continuous mapping of into for .


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References

[a1] H. Grauert, R. Remmert, "Theory of Stein spaces" , Springer (1979) (Translated from German)
[a2] H. Grauert, R. Remmert, "Coherent analytic sheaves" , Springer (1984) (Translated from German)
How to Cite This Entry:
Analytic sheaf. M.I. Voitsekhovskii (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Analytic_sheaf&oldid=18711
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098