Аннотация:
We explore orbits, rational invariant functions, and quotients of the natural actions of connected, not necessarily finite dimensional subgroups of the automorphism groups of irreducible algebraic varieties. The applications of the results obtained are given.
Supported by grants RFFI 14-01-00160, NX–2998.2014.1, and the granting program Contemporary Problems of Theoretical Mathematics of the Mathematics Branch of the Russian Academy of Sciences.
Поступила в редакцию: 21.12.2013 Принята в печать: 04.03.2014