on the existence of stable rank-2 sheaves on algebraic surfaces
Zhenbo Qin (1993)
Journal für die reine und angewandte Mathematik
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Zhenbo Qin (1993)
Journal für die reine und angewandte Mathematik
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Iustin Coanda (1986)
Journal für die reine und angewandte Mathematik
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Rosa M. Miró-Roig (1987)
Mathematische Zeitschrift
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Rosa M. Miró Roig (1985)
Mathematische Annalen
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Lawrence Ein (1982)
Journal für die reine und angewandte Mathematik
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Rosa M. Miró-Roig (1986)
Mathematische Annalen
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John T. Baldwin, Kitty Holland (2001)
Fundamenta Mathematicae
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This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and U-rank of the infinite rank ω-stable theories constructed by variants of Hrushovski's methods. Sample result: For every k < ω, there is an ω-stable expansion of any algebraically closed field which has Morley rank ω × k. We include a corrected proof of the lemma in [1] establishing that the generic model is ω-saturated in the rank 2 case.
Robin Hartshorne, Ignacio Sols (1981)
Journal für die reine und angewandte Mathematik
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Rosa M. Miró-Roig (1986)
Manuscripta mathematica
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Kota Yoshioka (1994)
Journal für die reine und angewandte Mathematik
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Alexei N. Rudakov (1994)
Journal für die reine und angewandte Mathematik
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Robin Hartshorne (1982)
Inventiones mathematicae
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Ph. Ellia (1994)
Journal für die reine und angewandte Mathematik
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Ross Moore, Reiner Wardelmann (1984)
Journal für die reine und angewandte Mathematik
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Robin Hartshorne (1987/88)
Mathematische Annalen
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Robin Hartshorne (1980)
Mathematische Annalen
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Robert J. Archbold, Eberhard Kaniuth (2006)
Studia Mathematica
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Let (G,X) be a transformation group, where X is a locally compact Hausdorff space and G is a compact group. We investigate the stable rank and the real rank of the transformation group C*-algebra C₀(X)⋊ G. Explicit formulae are given in the case where X and G are second countable and X is locally of finite G-orbit type. As a consequence, we calculate the ranks of the group C*-algebra C*(ℝⁿ ⋊ G), where G is a connected closed subgroup of SO(n) acting on ℝⁿ by rotation.
Peter Dombrowski (1975)
Journal für die reine und angewandte Mathematik
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