On orbits of the automorphism group on a complete toric variety

Details On orbits of the automorphism group on a complete toric variety On orbits of the automorphism group on a complete toric variety

2011-10-19

arxiv.org/abs/1110.4275v2

Mathematics

Algebraic Geometry

10 pages, 4 figures

Scientific paper

10.1007/s13366-011-0084-0

Let X be a complete toric variety and Aut(X) be the automorphism group. We
give an explit description of Aut(X)-orbits on X. In particular, we show that
Aut(X) acts on X transitively if and only if X is a product of projective
spaces.

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