- Published 2006

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 S[2](K) 6= ∅, 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.

@inproceedings{HULEK2006TheLO,
title={The L-series of a Cubic Fourfold},
author={KLAUS HULEK},
year={2006}
}