Geodesic
A~simple proof of the irrationality of a~three-dimensional quartic
Matematičeskie zametki, Tome 65 (1999) no. 5, pp. 667-673.

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

@article{MZM_1999_65_5_a3,
     author = {V. A. Iskovskikh},
     title = {A~simple proof of the irrationality of a~three-dimensional quartic},
     journal = {Matemati\v{c}eskie zametki},
     pages = {667--673},
     publisher = {mathdoc},
     volume = {65},
     number = {5},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1999_65_5_a3/}
}
TY  - JOUR
AU  - V. A. Iskovskikh
TI  - A~simple proof of the irrationality of a~three-dimensional quartic
JO  - Matematičeskie zametki
PY  - 1999
SP  - 667
EP  - 673
VL  - 65
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1999_65_5_a3/
LA  - ru
ID  - MZM_1999_65_5_a3
ER  - 
%0 Journal Article
%A V. A. Iskovskikh
%T A~simple proof of the irrationality of a~three-dimensional quartic
%J Matematičeskie zametki
%D 1999
%P 667-673
%V 65
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1999_65_5_a3/
%G ru
%F MZM_1999_65_5_a3
V. A. Iskovskikh. A~simple proof of the irrationality of a~three-dimensional quartic. Matematičeskie zametki, Tome 65 (1999) no. 5, pp. 667-673. http://geodesic.mathdoc.fr/item/MZM_1999_65_5_a3/

[1] Iskovskikh V. A., Manin Yu. I., “Trekhmernye kvartiki i kontrprimery k probleme Lyurota”, Matem. sb., 86(128):1 (1971), 140–166 | MR | Zbl

[2] Corti A., Singularities of linear systems and $3$-fold birational geometry, Preprint Univ. of Cambridge, 1998

[3] Pukhlikov A. V., “Zamechanie k teoreme V. A. Iskovskikh i Yu. I. Manina o trekhmernoi kvartike”, Tr. MIRAN, 208, Nauka, M., 1995, 278–289 | MR | Zbl

[4] Pukhlikov A. V., “Birational automorphisms of Fano hypersurfaces”, Invent. Math., 134:2 (1998), 401–426 | DOI | MR | Zbl

[5] Iskovskikh V. A., “Biratsionalnye avtomorfizmy trekhmernykh algebraicheskikh mnogoobrazii”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 12, VINITI, M., 1979, 159–236 | MR

[6] Corti A., “Factoring birational maps of $3$-folds after Sarkisov”, Journ. Alg. Geom., 4 (1995), 223–254 | MR | Zbl

[7] Kollar J., “Singularities of pairs”, Proc. Sympos. Pure Math., 62, 1998, 224–287

[8] Kollar J. et al., “Flips and abundance for algebraic threefolds”, Asterisque, 211, 1993