The L-series of a cubic fourfold

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dc.creatorHulek, Klaus
dc.creatorKloosterman, Remke
dc.date2006-01-10
dc.date2006-02-02
dc.date.accessioned2026-07-07T06:58:43Z
dc.date.available2026-07-07T06:58:43Z
dc.descriptionWe 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 such that S^[2](K) is not empty, then X has a model over K such that the L-series of the primitive cohomology of X/K can be expressed in 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.
dc.descriptionModified some proofs
dc.identifierhttps://arxiv.org/abs/math/0601207
dc.identifierhttp://arxiv.org/abs/math/0601207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107465
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleThe L-series of a cubic fourfold
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