Geodesic
On Nonrational Fibers of del~Pezzo Fibrations over Curves
Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 881-893

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

We consider threefold del Pezzo fibrations over a curve germ whose central fiber is nonrational. Under the additional assumption that the singularities of the total space are at worst ordinary double points, we apply a suitable base change and show that there is a one-to-one correspondence between such fibrations and certain nonsingular del Pezzo fibrations equipped with a cyclic group action.
Keywords: Mori fibration, rationality.
Mots-clés : del Pezzo surface 
@article{MZM_2019_106_6_a8,
     author = {K. V. Loginov},
     title = {On {Nonrational} {Fibers} of {del~Pezzo} {Fibrations} over {Curves}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {881--893},
     publisher = {mathdoc},
     volume = {106},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a8/}
}
TY  - JOUR
AU  - K. V. Loginov
TI  - On Nonrational Fibers of del~Pezzo Fibrations over Curves
JO  - Matematičeskie zametki
PY  - 2019
SP  - 881
EP  - 893
VL  - 106
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a8/
LA  - ru
ID  - MZM_2019_106_6_a8
ER  - 
%0 Journal Article
%A K. V. Loginov
%T On Nonrational Fibers of del~Pezzo Fibrations over Curves
%J Matematičeskie zametki
%D 2019
%P 881-893
%V 106
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a8/
%G ru
%F MZM_2019_106_6_a8
K. V. Loginov. On Nonrational Fibers of del~Pezzo Fibrations over Curves. Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 881-893. http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a8/