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Title: Building blocks of amplified endomorphisms of normal projective varieties
Authors: Meng, Sheng 
Keywords: math.AG
14E30, 32H50, 08A35
Issue Date: 25-Dec-2017
Citation: Meng, Sheng (2017-12-25). Building blocks of amplified endomorphisms of normal projective varieties. ScholarBank@NUS Repository.
Abstract: Let $X$ be a normal projective variety. A surjective endomorphism $f:X\to X$ is int-amplified if $f^\ast L - L =H$ for some ample Cartier divisors $L$ and $H$. This is a generalization of the so-called polarized endomorphism which requires that $f^*H\sim qH$ for some ample Cartier divisor $H$ and $q>1$. We show that this generalization keeps all nice properties of the polarized case in terms of the singularity, canonical divisor, and equivariant minimal model program.
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