Tits-type alternative for certain groups acting on algebraic surfaces

نویسندگان

چکیده

A theorem of Cantat and Urech says that an analog the classical Tits alternative holds for group birational automorphisms a compact complex Kaehler surface. We established in our previous paper following Tits-type alternative: if X is toric affine variety G subgroup Aut(X) generated by finite set unipotent subgroups normalized acting torus then either contains nonabelian free or algebraic group. In present we extend latter result to any surface collection subgroups. It occurs metabelian

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2023

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/16324