Counterexamples to the Gleason problem
Ulf Backlund, Anders Fällström (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ulf Backlund, Anders Fällström (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Kolář, Martin
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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.
Nikolov, Nikolai (2011)
Union of Bulgarian Mathematicians
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Николай М. Николов - Разгледани са характеризации на различни понятия за изпъкналост, като тези понятия са сравнени. We discuss different characterizations of various notions of convexity as well as we compare these notions. *2000 Mathematics Subject Classification: 32F17.
A. Iordan (1985)
Mathematische Annalen
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Erik Low (1984)
Mathematische Zeitschrift
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Gregor Herbort (2013)
Annales Polonici Mathematici
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We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite...