Titlebook: Abelian Varieties over the Complex Numbers; A Graduate Course Herbert Lange Textbook 2023 The Editor(s) (if applicable) and The Author(s),

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,Materialanalysen der Fundgegenst?nde,riety, its .. As we mentioned already in the introduction, the theory of abelian varieties originated with the investigation of Jacobians. They are not only the most important, but also the best-known examples of abelian varieties. Much more can be said about them than about a general principally po

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Abelian Varieties over the Complex Numbers978-3-031-25570-0Series ISSN 1618-2685 Series E-ISSN 2627-5260

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https://doi.org/10.1007/978-3-663-01432-4he notion “moduli space” is considered in a slightly naive way: A . means a complex analytic space whose points are in some natural one to one correspondence with the elements of the set. In many case we show that the spaces are manifolds or algebraic varieties. The uniqueness and the functorial properties of these spaces will be totally ignored.

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,Isotopenanalysen in der Arch?ometrie, the fact that the Chow group Ch(.) admits two ring structures, one is induced by the intersection product and the other by the Pontryagin product. The Fourier transform exchanges both ring structures. In the second section we give an introduction into the theory of algebraic cycles on abelian varieties.

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978-3-031-25569-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl