Algebraic varieties with automorphism groups of maximal rank

Details Algebraic varieties with automorphism groups of maximal rank Algebraic varieties with automorphism groups of maximal rank

2012-01-11

arxiv.org/abs/1201.2338v1

Mathematics

Algebraic Geometry

Mathematische Annalen (to appear)

Scientific paper

We confirm, to some extent, the belief that a projective variety X has the
largest number (relative to the dimension of X) of independent commuting
automorphisms of positive entropy only when X is birational to a complex torus
or a quotient of a torus. We also include an addendum to an early paper though
it is not used in the present paper.

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