Geodesic
On algebraic isomorphisms of rational cohomology of a K\"unneman compactification of the N\'eron minimal model
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 89-125

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It is proved that the Grothendieck standard conjecture of Lefschetz type holds for rational cohomology of degree 2 or 3 of a Künnemann compactification of the Néron minimal model of an absolutely simple principally polarized Abelian variety over the field of rational functions of a smooth projective curve under certain restrictions on the ring of endomorphisms of the Abelian variety.
Keywords: Abelian variety, Néron minimal model, Künnemann compactification, Grothendieck standard conjecture of Lefschetz type. 
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     author = {S. G. Tankeev},
     title = {On algebraic isomorphisms of rational cohomology of a {K\"unneman} compactification of the {N\'eron} minimal model},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {89--125},
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     volume = {17},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a4/}
}
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S. G. Tankeev. On algebraic isomorphisms of rational cohomology of a K\"unneman compactification of the N\'eron minimal model. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 89-125. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a4/