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Uniform boundedness conjecture information


Uniform boundedness conjecture may refer to:

  • Uniform boundedness conjecture for torsion points
  • Uniform boundedness conjecture for rational points
  • Uniform boundedness conjecture for preperiodic points

and 17 Related for: Uniform boundedness conjecture information

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Uniform boundedness conjecture

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Uniform boundedness conjecture may refer to: Uniform boundedness conjecture for torsion points Uniform boundedness conjecture for rational points Uniform...

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Torsion conjecture

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In algebraic geometry and number theory, the torsion conjecture or uniform boundedness conjecture for torsion points for abelian varieties states that...

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Uniform boundedness conjecture for rational points

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In arithmetic geometry, the uniform boundedness conjecture for rational points asserts that for a given number field K {\displaystyle K} and a positive...

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Arithmetic dynamics

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in PN(K), and the general Uniform Boundedness Conjecture says that the number of preperiodic points in PN(K) may be bounded solely in terms of N, the...

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List of unsolved problems in mathematics

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χ ( R / P , R / Q ) > 0 {\displaystyle \chi (R/P,R/Q)>0} . Uniform boundedness conjecture for rational points: do algebraic curves of genus g ≥ 2 {\displaystyle...

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Thue equation

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weaker form of a conjecture of Stewart, and is a special case of the uniform boundedness conjecture for rational points. This conjecture has been proven...

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Rank of an elliptic curve

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rank on average as well. In Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves, Bhargava and Shankar...

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Aleksei Parshin

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uniform boundedness of rational points over function fields". arXiv:math/0004078. Heier, Gordon (2003). "Uniformly effective Shafarevich conjecture on...

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List of functional analysis topics

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graph theorem Uniform boundedness principle Arzelà–Ascoli theorem Banach–Alaoglu theorem Measure of non-compactness Banach–Mazur theorem Bounded linear operator...

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Whitney inequality

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ISBN 978-3540506270. Gilewicz, J.; Kryakin, Yu. V.; Shevchuk, I. A. (2002). "Boundedness by 3 of the Whitney Interpolation Constant". Journal of Approximation...

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Coarse structure

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generalization of boundedness Quasi-isometry – Function between two metric spaces that only respects their large-scale geometry Uniform space – Topological...

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Singular integral operators of convolution type

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integrable functions and have uniformly bounded operator norms. Since the Riesz transforms are unitary on L2(C), the uniform boundedness of the truncated Riesz...

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Grunsky matrix

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on the unit disk and its complement. The Grunsky inequalities express boundedness properties of these matrices, which in general are contraction operators...

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Perceptron

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1088/0305-4470/20/11/013. Block, H. D.; Levin, S. A. (1970). "On the boundedness of an iterative procedure for solving a system of linear inequalities"...

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Banach space

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operators from X {\displaystyle X} to Y . {\displaystyle Y.} The uniform boundedness principle states that if for all x {\displaystyle x} in X {\displaystyle...

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Timeline of Polish science and technology

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Banach algebra, Functional analysis, Banach fixed-point theorem, uniform boundedness principle, Banach–Alaoglu theorem and Banach measure. Lwów School...

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Constructive set theory

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schema. Boundedness can be handled as a syntactic property or, alternatively, the theories can be conservatively extended with a higher boundedness predicate...

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