Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2010), pp. 39-42
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V. I. Tsygankov. Equations of $G$-minimal conic bundles with degree $4$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2010), pp. 39-42. http://geodesic.mathdoc.fr/item/VMUMM_2010_2_a6/
@article{VMUMM_2010_2_a6,
author = {V. I. Tsygankov},
title = {Equations of $G$-minimal conic bundles with degree $4$},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {39--42},
year = {2010},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_2_a6/}
}
TY - JOUR
AU - V. I. Tsygankov
TI - Equations of $G$-minimal conic bundles with degree $4$
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2010
SP - 39
EP - 42
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_2010_2_a6/
LA - ru
ID - VMUMM_2010_2_a6
ER -
%0 Journal Article
%A V. I. Tsygankov
%T Equations of $G$-minimal conic bundles with degree $4$
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2010
%P 39-42
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_2010_2_a6/
%G ru
%F VMUMM_2010_2_a6
The first nontrivial case of relatively $G$-minimal conic bundles being $G$-minimal is considered. The number $r$ of singular fibers equals $4$. Classification gives explicit equations of minimal conic bundles $(S,G)$ and an explicit action of the group $G$ on the Picard group $\operatorname{Pic}(S)$ and on the surface $S$.
