Fixed points of endomorphisms of complex tori
classification
🧮 math.AG
math.DS
keywords
functionbehaviorcomplexfixedasymptoticcardinalityeitherendomorphism
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We study the asymptotic behavior of the cardinality of the fixed point set of iterates of an endomorphism of a complex torus. We show that there are precisely three types of behavior of this function: it is either an exponentially growing function, a periodic function, or a product of both.
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