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Congruences for the number of rational points, Hodge type and motivic conjectures for Fano varieties

Spencer Bloch, Hélène Esnault

math.AGarXiv:math/0212256

Abstract

This is meant to be a survey article for the Cubo Journal. We discuss the existence and number of rational points over a finite field, the Hodge type over the complex numbers, and the motivic conjectures which are controlling those invariants. We present a geometric version of it.

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