Geodesic
On algebraic isomorphisms of cohomology of a compactification of the N\'eron model with multiplications from an imaginary quadratic field
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 34-48.

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It is proved that the Grothendieck standard conjecture of Lefschetz type holds for rational cohomology of degrees 2, 3 of a Künnemann compactification of the Néron minimal model of an absolutely simple principally polarized Abelian variety of non-exceptional dimension divisible by 4 over the field of rational functions of a smooth projective curve provided that the ring of endomorphisms of the generic geometric fibre is an order of an imaginary quadratic field.
Keywords: Abelian variety, Néron minimal model, Künnemann compactification, Grothendieck standard conjecture of Lefschetz type. 
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O. V. Makarova. On algebraic isomorphisms of cohomology of a compactification of the N\'eron model with multiplications from an imaginary quadratic field. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 34-48. http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a1/

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