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https://scholarbank.nus.edu.sg/handle/10635/239062
| Title: | TOPICS IN ALGEBRAIC DYNAMICS | Authors: | JIA JIA | ORCID iD: |  orcid.org/0000-0002-2693-7278 |
Keywords: | automorphism group, minimal model program, algebraic dynamics, compact complex spaces | Issue Date: | 9-Jan-2023 | Citation: | JIA JIA (2023-01-09). TOPICS IN ALGEBRAIC DYNAMICS. ScholarBank@NUS Repository. | Abstract: | In algebraic dynamics one typically studies discrete dynamical systems on algebraic varieties. Such a system is given by an endomorphism or a rational delf-map of a variety X. Based on some joint works with Meng, Shibata, Wang, Xie, Zhang and Zhong, I summarise three topics in algebraic dynamics: (1) classification of projective varieties admitting non-isomorphic endomorphisms; (2) interaction between arithmetic geometry and algebraic dynamics; (3) automorphism groups of algebraic/analytic varieties. | URI: | https://scholarbank.nus.edu.sg/handle/10635/239062 |
| Appears in Collections: | Ph.D Theses (Open) |
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