Year: 2025
Type: preprint
Abstract: We study the algebraic dynamics of endomorphisms of projective varieties. First, we characterize their iterated images, i.e. the intersection of the images of their iterates. Next, we explore the Stein factorizations of the iterates, proving some stability phenomena they exhibit. Finally, we study endomorphisms whose iterates lie in a finite union of connected components of the endomorphism scheme, thereby completing a result of Brion.
Source: arXiv (Cornell University)
Author: al-Asaad, Sami
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416414672
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