Fixed points of smooth varieties with Kodaira dimension zero

2007/08/27 by Ringler, Adam
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0708.3587

Abstract

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.

Related

• Fixed points and entropy of endomorphisms on simple abelian varieties
• Fixed points of endomorphisms on two-dimensional complex tori
• Conjectures on the Kodaira dimension
• Estimates on the Kodaira dimension for fibrations over abelian varieties
• On the behavior of Kodaira dimension under smooth morphisms