-minimal Conic Bundles with Degree 4 / Tsygankov V.I. Equations of G // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 2. P. 39-42 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 72-75].

We consider the first nontrivial case of relatively G-minimal conic bundles which are G-minimal and have r=4 singular fibers. Classification obtained gives explicit equations of minimal conic bundles (S,G) and an explicit action of the group G on the Picard group Pic(S) and on the surface S.

Key words: Cremona group, conic bundle, group of automorphisms.