Canonical heights on the Jacobians of curves of genus 2 and the infinite descent
E. V. Flynn, N. P. Smart (1997)
Acta Arithmetica
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Displaying similar documents to “On large Picard groups and the Hasse Principle for curves and K3 surfaces”
Canonical heights on the Jacobians of curves of genus 2 and the infinite descent
Bohr compactifications of discrete structures
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 .
Embedding partially ordered sets into
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).
Hamiltonian systems with linear potential and elastic constraints
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.
Porosity of Collet–Eckmann Julia sets
Feliks Przytycki, Steffen Rohde (1998)
Fundamenta Mathematicae
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We prove that the Julia set of a rational map of the Riemann sphere satisfying the Collet-Eckmann condition and having no parabolic periodic point is mean porous, if it is not the whole sphere. It follows that the Minkowski dimension of the Julia set is less than 2.
Double fibres and double covers: paucity of rational points
J.-L. Colliot-Thélène, A. N. Skorobogatov, Sir Peter Swinnerton-Dyer (1997)
Acta Arithmetica
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Almost all submaximal groups are paracompact and σ-discrete
O. Alas, I. Protasov, M. Tkačenko, V. Tkachuk, R. Wilson, I. Yaschenko (1998)
Fundamenta Mathematicae
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We prove that any topological group of a non-measurable cardinality is hereditarily paracompact and strongly σ-discrete as soon as it is submaximal. Consequently, such a group is zero-dimensional. Examples of uncountable maximal separable spaces are constructed in ZFC.