Finitely Generated Coherent Analytic Sheaves
نویسندگان
چکیده
منابع مشابه
Homomorphisms of Infinitely Generated Analytic Sheaves
We prove that every homomorphism O ζ → O ζ , with E and F Banach spaces and ζ ∈ C, is induced by a Hom(E,F )-valued holomorphic germ, provided that 1 ≤ m < ∞. A similar structure theorem is obtained for the homomorphisms of type O ζ → Sζ , where Sζ is a stalk of a coherent sheaf of positive mζ -depth. We later extend these results to sheaf homomorphisms, obtaining a condition on coherent sheave...
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If one assumes k to have a discrete valuation, then descent theory for coherent sheaves is an old result of Gabber. Gabber’s method was extended to the general case by Bosch and Görtz [BG]. Our method is rather different from theirs (though both approaches do use Raynaud’s theory of formal models [BL1], [BL2], we use less of this theory). We think that our approach may be of independent interes...
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We consider coherent and cohesive sheaves of O–modules over open sets Ω ⊂ Cn. We prove that coherent sheaves, and certain other sheaves derived from them, are cohesive; and conversely, certain sheaves derived from cohesive sheaves are coherent. An important tool in all this, also proved here, is that the sheaf of Banach space valued holomorphic germs is flat. To Linda Rothschild on her birthday
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.2307/2036414