On large Picard groups and the Hasse Principle for curves and K3 surfaces
Daniel Coray, Constantin Manoil (1996)
Acta Arithmetica
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Daniel Coray, Constantin Manoil (1996)
Acta Arithmetica
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J.-L. Colliot-Thélène, A. N. Skorobogatov, Sir Peter Swinnerton-Dyer (1997)
Acta Arithmetica
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Maciej Wojtkowski (1998)
Fundamenta Mathematicae
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We consider a class of Hamiltonian systems with linear potential, elastic constraints and arbitrary number of degrees of freedom. We establish sufficient conditions for complete hyperbolicity of the system.
Ilijas Farah (1996)
Fundamenta Mathematicae
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We investigate some natural questions about the class of posets which can be embedded into ⟨ω,≤*⟩. Our main tool is a simple ccc forcing notion which generically embeds a given poset E into ⟨ω,≤*⟩ and does this in a “minimal” way (see Theorems 9.1, 10.1, 6.1 and 9.2).
Rebecca Risley, Luca Zamboni (2000)
Acta Arithmetica
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Joan Hart, Kenneth Kunen (1999)
Fundamenta Mathematicae
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We prove the following theorem: Given a⊆ω and , if for some and all u ∈ WO of length η, a is , then a is .We use this result to give a new, forcing-free, proof of Leo Harrington’s theorem: -Turing-determinacy implies the existence of .
Christopher McCord (1997)
Fundamenta Mathematicae
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Nielsen theory, originally developed as a homotopy-theoretic approach to fixed point theory, has been translated and extended to various other problems, such as the study of periodic points, coincidence points and roots. In this paper, the techniques of Nielsen theory are applied to the study of intersections of maps. A Nielsen-type number, the Nielsen intersection number NI(f,g), is introduced, and shown to have many of the properties analogous to those of the Nielsen fixed point number....