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