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Real Multiplication and Noncommutative Geometry (ein Alterstraum)

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The Legacy of Niels Henrik Abel

Abstract

Preface. Abel’s name is associated with a number of key notions of modern mathematics, such as abelian varieties, Abel’s integrals, etc. Moreover, it became almost synonymous with the idea of commutativity. Thus, when one speaks about abelian class field theory, one has in mind a description of extensions of a ground (say, number) field with commutative Galois group.

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  1. Yu. I. Manin
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  1. Department of Mathematics, University of Oslo, 0316, Oslo, Norway

    Olav Arnfinn Laudal  & Ragni Piene  & 

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Manin, Y.I. (2004). Real Multiplication and Noncommutative Geometry (ein Alterstraum). In: Laudal, O.A., Piene, R. (eds) The Legacy of Niels Henrik Abel. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18908-1_23

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  • DOI: https://doi.org/10.1007/978-3-642-18908-1_23

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