On algebraic isomorphisms of rational cohomology of a K\"unneman compactification of the N\'eron minimal model

S. G. Tankeev

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 89-125.

Résumé

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.

Détail

Keywords: Abelian variety, Néron minimal model, Künnemann compactification, Grothendieck standard conjecture of Lefschetz type.

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