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Finitely generated ideals in rings of analytic functions

✍ Scribed by James J. Kelleher; B. A. Taylor


Publisher
Springer
Year
1971
Tongue
English
Weight
844 KB
Volume
193
Category
Article
ISSN
0025-5831

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Finitely generated ideals in A∞(D)
✍ Paolo de Bartolomeis; Giuseppe Tomassini πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 398 KB

Let DE C" be a bounded pseudoconvex domain with P-smooth boundary bD and let V be an analytic subvariety of a neighborhood of 0. Let KV denote the sheaf of ideals of V. From the general theory of Oka-Cartan-Serre it follows that if f, ,...,fk E r(D, &) generate KVy.; at every point z E D, then they