Please use this identifier to cite or link to this item: https://doi.org/10.1007/s40306-019-00333-6
Title: Normal Projective Varieties Admitting Polarized or Int-amplified Endomorphisms
Authors: Meng, S 
Zhang, DQ 
Keywords: math.AG
math.AG
math.DS
14E30, 32H50, 08A35, 14M25
Issue Date: 1-Mar-2020
Publisher: Springer Science and Business Media LLC
Citation: Meng, S, Zhang, DQ (2020-03-01). Normal Projective Varieties Admitting Polarized or Int-amplified Endomorphisms. Acta Mathematica Vietnamica 45 (1) : 11-26. ScholarBank@NUS Repository. https://doi.org/10.1007/s40306-019-00333-6
Abstract: Let X be a normal projective variety admitting a polarized or int-amplified endomorphism f. We list up characteristic properties of such an endomorphism and classify such a variety from the aspects of its singularity, anti-canonical divisor, and Kodaira dimension. Then, we run the equivariant minimal model program with respect to not just the single f but also the monoid SEnd(X) of all surjective endomorphisms of X, up to finite-index. Several applications are given. We also give both algebraic and geometric characterizations of toric varieties via polarized endomorphisms.
Source Title: Acta Mathematica Vietnamica
URI: https://scholarbank.nus.edu.sg/handle/10635/234649
ISSN: 0251-4184
2315-4144
DOI: 10.1007/s40306-019-00333-6
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