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We consider families of Calabi-Yau n-folds containing singular fibres andstudy relations between the occurring singularity structure and thedecomposition of the local Weil zeta-function. For 1-parameter families, thisprovides new insights into the combinatorial structure of the strongequivalence classes arising in the Candelas - de la Ossa - Rodrigues-Villegasapproach for computing the zeta-function. This can also be extended to familieswith more parameters as is explored in several examples, where the singularityanalysis provides correct predictions for the changes of degree in thedecomposition of the zeta-function when passing to singular fibres. Theseobservations provide first evidence in higher dimensions for Lauder'sconjectured analogue of the Clemens-Schmid exact sequence.

Zeta-Functions for Families of Calabi--Yau n-folds with Singularities