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Automorphisms of compact Kahler manifolds with slow dynamics.
- Source :
- Transactions of the American Mathematical Society; Feb2021, Vol. 374 Issue 2, p1351-1389, 39p
- Publication Year :
- 2021
-
Abstract
- We study automorphisms of compact Kähler manifolds having slow dynamics. Adapting Gromov's classical argument, we give an upper bound on the polynomial entropy and study its possible values in dimensions 2 and 3. We prove that every automorphism with sublinear derivative growth is an isometry; a counter-example is given in the C<superscript>∞</superscript> context, answering negatively a question of Artigue, Carrasco-Olivera, and Monteverde in [Acta Math. Hungar. 152 (2017), pp. 140-149] on polynomial entropy. We also study minimal automorphisms of surfaces with respect to the Zariski or euclidean topology. [ABSTRACT FROM AUTHOR]
- Subjects :
- ZARISKI surfaces
MATHEMATICS
TOPOLOGY
ENTROPY (Information theory)
POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 374
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 147993478
- Full Text :
- https://doi.org/10.1090/tran/8229