Smoothness of the general anticanonical divisor on a~Fano 3-fold
Izvestiya. Mathematics , Tome 14 (1980) no. 2, pp. 395-405

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

Smoothness of the general anticanonical divisor of a Fano 3-fold is proved. In addition, an analogous result is established for the linear system $|\mathscr H|$, where $r\mathscr H\sim-K_V$ for some natural number $r$. The results obtained in the paper can be used to investigate projective imbeddings of Fano 3-folds. Bibliography: 6 titles.
@article{IM2_1980_14_2_a10,
     author = {V. V. Shokurov},
     title = {Smoothness of the general anticanonical divisor on {a~Fano} 3-fold},
     journal = {Izvestiya. Mathematics },
     pages = {395--405},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1980_14_2_a10/}
}
TY  - JOUR
AU  - V. V. Shokurov
TI  - Smoothness of the general anticanonical divisor on a~Fano 3-fold
JO  - Izvestiya. Mathematics 
PY  - 1980
SP  - 395
EP  - 405
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1980_14_2_a10/
LA  - en
ID  - IM2_1980_14_2_a10
ER  - 
%0 Journal Article
%A V. V. Shokurov
%T Smoothness of the general anticanonical divisor on a~Fano 3-fold
%J Izvestiya. Mathematics 
%D 1980
%P 395-405
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1980_14_2_a10/
%G en
%F IM2_1980_14_2_a10
V. V. Shokurov. Smoothness of the general anticanonical divisor on a~Fano 3-fold. Izvestiya. Mathematics , Tome 14 (1980) no. 2, pp. 395-405. http://geodesic.mathdoc.fr/item/IM2_1980_14_2_a10/