On the standard conjecture for a~fourfold with

S. G. Tankeev

Izvestiya. Mathematics , Tome 88 (2024) no. 2, pp. 339-368.

Résumé

It is proved that the Grothendieck standard conjecture $B(X)$ of Lefschetz type holds for a smooth complex projective 4-dimensional variety $X$ provided that there exists a morphism of $X$ onto a smooth projective curve whose generic scheme fibre is an Abelian variety with bad semi-stable reduction at some place of the curve.

Détail

Keywords: Grothendieck standard conjecture of Lefschetz type, Abelian variety, minimal Néron model, Hodge group.

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