Geodesic
On the standard conjecture for a~fourfold with
Izvestiya. Mathematics , Tome 88 (2024) no. 2, pp. 339-368

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: Grothendieck standard conjecture of Lefschetz type, Abelian variety, minimal Néron model, Hodge group. 
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     title = {On the standard conjecture for a~fourfold with},
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S. G. Tankeev. On the standard conjecture for a~fourfold with. Izvestiya. Mathematics , Tome 88 (2024) no. 2, pp. 339-368. http://geodesic.mathdoc.fr/item/IM2_2024_88_2_a7/