Abstract
For abelian varieties one knows a little more about algebraic cycles than for most other classes of smooth projective varieties. This is mainly due to the fact that the Chow group Ch(X) 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 this section we give an introduction into the theory of algebraic cycles on abelian varieties.
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© 2004 Springer-Verlag Berlin Heidelberg
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Birkenhake, C., Lange, H. (2004). Cycles on Abelian varieties. In: Complex Abelian Varieties. Grundlehren der mathematischen Wissenschaften, vol 302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06307-1_18
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DOI: https://doi.org/10.1007/978-3-662-06307-1_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05807-3
Online ISBN: 978-3-662-06307-1
eBook Packages: Springer Book Archive