Essentials of the Method of Maximal Singularities

Abstract

We start with a very brief description of the principal events in the history of our subject. About 1870 M.Noether discovered [N] that the group of birational automorphisms of the projective plane BirP, which is known also as the Cremona group CrP, is generated by its subgroup AutP = AutC/C and any quadratic Cremona transformation τ , which in a certain… (More)

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