DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zaffran, Dan | ko |
dc.date.accessioned | 2013-03-06T22:06:15Z | - |
dc.date.available | 2013-03-06T22:06:15Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008-08 | - |
dc.identifier.citation | MATHEMATISCHE ANNALEN, v.341, no.4, pp.717 - 733 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.uri | http://hdl.handle.net/10203/88627 | - |
dc.description.abstract | We consider a family {E-m( D, M)} of holomorphic bundles constructed as follows: from any given M is an element of GL(n)(Z), we associate a "multiplicative automorphism" phi of (C*)(n). Now let D subset of (C*)(n) be phi-invariant Stein Reinhardt domain. Then E-m(D, M) is defined as the flat bundle over the annulus of modulus m > 0, with fiber D, and monodromy phi. We show that the function theory on E-m(D, M) depends nontrivially on the parameters m, M and D. Our main result is that E-m(D, M) is Stein if and only if m log.( M) <= 2 pi(2), where rho(M) denotes the max of the spectral radii of M and M-1. As corollaries, we: (1) obtain a classification result for Reinhardt domains in all dimensions; (2) establish a similarity between two known counterexamples to a question of J.-P. Serre; and (3) suggest a potential reformulation of a disproved conjecture of Siu Y.-T. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | FIBER-BUNDLES | - |
dc.subject | SERRE PROBLEM | - |
dc.subject | BOUNDED DOMAIN | - |
dc.subject | BASE | - |
dc.title | Holomorphic functions on bundles over annuli | - |
dc.type | Article | - |
dc.identifier.wosid | 000256322100001 | - |
dc.identifier.scopusid | 2-s2.0-44449121709 | - |
dc.type.rims | ART | - |
dc.citation.volume | 341 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 717 | - |
dc.citation.endingpage | 733 | - |
dc.citation.publicationname | MATHEMATISCHE ANNALEN | - |
dc.identifier.doi | 10.1007/s00208-007-0201-4 | - |
dc.contributor.localauthor | Zaffran, Dan | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | FIBER-BUNDLES | - |
dc.subject.keywordPlus | SERRE PROBLEM | - |
dc.subject.keywordPlus | BOUNDED DOMAIN | - |
dc.subject.keywordPlus | BASE | - |
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