KLinneth decompositions for quotient varieties
نویسنده
چکیده
In this paper we discuss Kfinneth decompositions for finite quotients of several classes of smooth projective varieties. The main result is the existence o f an explicit (and readily computable) Chow-Kiinneth decomposition in the sense o f Murre with several pleasant properties for finite quotients of abelian varieties. This applies in particular to symmetric products of abelian varieties and also to certain smooth quotients in positive characteristics which are known to be not abelian varieties, examples of which were considered by Enriques and Igusa. We also consider briefly a strong Kiinneth decomposition for finite quotients of projective smooth linear varieties.
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