-pseudoconvex and -complete domains
Giuseppe Vigna Suria (1984)
Compositio Mathematica
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Displaying similar documents to “Finitely generated ideals in ”
-pseudoconvex and -complete domains
A remark on semiglobal existence for
Alberto Scalari (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Trivial generators for nontrivial fibres
Linus Carlsson (2008)
Mathematica Bohemica
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Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in where the fibre is nontrivial, has to exceed . This is shown not to be the case.
Counterexamples to the Gleason problem
Ulf Backlund, Anders Fällström (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On dense ideals in spaces of analytic functions
Mihai Putinar (1994)
Annales de l'institut Fourier
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One proves the density of an ideal of analytic functions into the closure of analytic functions in a -space, under some geometric conditions on the support of the measure and the zero variety of the ideal.