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https://scholarbank.nus.edu.sg/handle/10635/234659
Title: | Building blocks of amplified endomorphisms of normal projective varieties | Authors: | Meng, Sheng | Keywords: | math.AG math.AG math.DS 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. | URI: | https://scholarbank.nus.edu.sg/handle/10635/234659 |
Appears in Collections: | Elements Staff Publications |
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