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

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

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. 
@article{SEMR_2022_19_1_a1,
     author = {O. V. Makarova},
     title = {On algebraic isomorphisms of cohomology of a compactification of the {N\'eron} model with multiplications from an imaginary quadratic field},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {34--48},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a1/}
}
TY  - JOUR
AU  - O. V. Makarova
TI  - On algebraic isomorphisms of cohomology of a compactification of the N\'eron model with multiplications from an imaginary quadratic field
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2022
SP  - 34
EP  - 48
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a1/
LA  - en
ID  - SEMR_2022_19_1_a1
ER  - 
%0 Journal Article
%A O. V. Makarova
%T On algebraic isomorphisms of cohomology of a compactification of the N\'eron model with multiplications from an imaginary quadratic field
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2022
%P 34-48
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a1/
%G en
%F SEMR_2022_19_1_a1
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/