Please use this identifier to cite or link to this item: https://doi.org/10.4310/AJM.2018.v22.n3.a3
Title: PERIODIC SUBVARIETIES OF A PROJECTIVE VARIETY UNDER THE ACTION OF A MAXIMAL RANK ABELIAN GROUP OF POSITIVE ENTROPY
Authors: Hu, Fei 
Tan, Sheng-Li 
Zhang, De-Qi 
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Automorphism
complex dynamics
iteration
topological entropy
ALGEBRAIC-VARIETIES
AUTOMORPHISM-GROUPS
Issue Date: 1-Jun-2018
Publisher: INT PRESS BOSTON, INC
Citation: Hu, Fei, Tan, Sheng-Li, Zhang, De-Qi (2018-06-01). PERIODIC SUBVARIETIES OF A PROJECTIVE VARIETY UNDER THE ACTION OF A MAXIMAL RANK ABELIAN GROUP OF POSITIVE ENTROPY. ASIAN JOURNAL OF MATHEMATICS 22 (3) : 451-476. ScholarBank@NUS Repository. https://doi.org/10.4310/AJM.2018.v22.n3.a3
Abstract: We determine positive-dimensional G-periodic proper subvarieties of an ndimensional normal projective variety X under the action of an abelian group G of maximal rank n - 1 and of positive entropy. The motivation of the paper is to understand the obstruction for X to be G-equivariant birational to the quotient variety of an abelian variety modulo the action of a finite group.
Source Title: ASIAN JOURNAL OF MATHEMATICS
URI: https://scholarbank.nus.edu.sg/handle/10635/234661
ISSN: 1093-6106
1945-0036
DOI: 10.4310/AJM.2018.v22.n3.a3
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