On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties

Details On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties

2010-01-08

arxiv.org/abs/1001.1311v3

CRM Proceedings and Lecture Notes, Vol. 54, Amer. Math. Soc., 2011, pp. 289--311

Mathematics

Algebraic Geometry

23 pages. Theorem 2.32 is added. It classifies irreducible curves and surfaces X for which the group of birational automorphis

Scientific paper

A simple method of constructing a big stock of algebraic varieties with
trivial Makar-Limanov invariant is described, the Derksen invariant of some
varieties is computed, the generalizations of the Makar-Limanov and Derksen
invariants are introduced and discussed, and some results on the Jordan
property of automorphism groups of algebraic varieties are obtained.

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