Fixed points of smooth varieties with Kodaira dimension zero

Details Fixed points of smooth varieties with Kodaira dimension zero Fixed points of smooth varieties with Kodaira dimension zero

2007-08-27

arxiv.org/abs/0708.3587v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

In this paper, we study the growth of the number of fixed points from
iterating an endomorphism of an abelian variety. Using the estimates obtained
on an abelian variety, we are able to extend the results to endomorphisms on
varieties of Kodaira dimension zero and more generally their periodic
subvarieties.

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