Equations of \(G\)-minimal conic bundles
The authors develop a method for the computation of the equation of a \(G\)-minimal bundle of conics with an arbitrary number of singular fibres. A detailed classification is given in the case of 4, 6, or 7 singular fibres. Further, the equation of the minimal conic bundles \((S,G)\) and an explicit description of the action of \(G\) on the Picard group \(\mathrm{Pic}(S)\) and on the surface \(S\) is given.
scientific article; zbMATH DE number 6023002
scientific article