The cohomological birational invariants for 4-dimensional tori
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 26-37

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

This paper is the first systematic step to obtain the birational classification of 4-dimensional tori. All the cohomological birational invariants of this tori are calculated. All the 4-dimensional tori with nontrivial invariants are described.
Mots-clés : algebraic torus, birational invariant, birational classification.
Keywords: cohomology, flasque resolution
@article{VSGU_2011_2_a2,
     author = {Yu. Yu. Krutikov and S. Yu. Popov},
     title = {The cohomological birational invariants for 4-dimensional tori},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {26--37},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_2_a2/}
}
TY  - JOUR
AU  - Yu. Yu. Krutikov
AU  - S. Yu. Popov
TI  - The cohomological birational invariants for 4-dimensional tori
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2011
SP  - 26
EP  - 37
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2011_2_a2/
LA  - ru
ID  - VSGU_2011_2_a2
ER  - 
%0 Journal Article
%A Yu. Yu. Krutikov
%A S. Yu. Popov
%T The cohomological birational invariants for 4-dimensional tori
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2011
%P 26-37
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2011_2_a2/
%G ru
%F VSGU_2011_2_a2
Yu. Yu. Krutikov; S. Yu. Popov. The cohomological birational invariants for 4-dimensional tori. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 26-37. http://geodesic.mathdoc.fr/item/VSGU_2011_2_a2/