The <Emphasis Type="Italic">L</Emphasis>-series of a cubic fourfold |
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Authors: | Klaus Hulek Remke Kloosterman |
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Institution: | 1.Institut für Algebraische Geometrie,Universit?t Hannover,Hannover,Germany |
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Abstract: | We study the L-series of cubic fourfolds. Our main result is that, if X/C is a special cubic fourfold associated to some polarized K3 surface S, defined over a number field K and satisfying , then X has a model over K such that the L-series of the primitive cohomology of X/K can be expressed in terms of the L-series of S/K. This allows us to compute the L-series for a discrete dense subset of cubic fourfolds in the moduli spaces of certain special cubic fourfolds. We also discuss
a concrete example. |
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Keywords: | 11G40 14G10 14G25 14J35 |
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