# Analytic sheaf

From Encyclopedia of Mathematics

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