On the stable dynamical spectrum of complex surfaces-Reference-Cited by-同舟云学术

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On the stable dynamical spectrum of complex surfaces

Published:2020-03-16 Issue:1-2 Volume:377 Page:421-434
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Brandhorst Simon

Abstract

AbstractWe characterize Salem numbers which have some power arising as dynamical degree of an automorphism on a complex (projective) 2-Torus, K3 or Enriques surface.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-020-01978-7.pdf

Reference12 articles.

1. Amerik, E., Verbitsky, M.: Construction of automorphisms of hyperkähler manifolds. Compos. Math. 153, 1610–1621 (2017)

2. Barth, W., Peters, C.: Automorphisms of Enriques surfaces. Invent. Math. 73, 383–411 (1983)

3. Barth, W.P., Hulek, K., Peters, C.A.M., Van de Ven, A.: Compact Complex Surfaces, vol. 4, 2nd edn. Springer, Berlin (2004)

4. Bayer-Fluckiger, E.: Isometries of quadratic spaces. J. Eur. Math. Soc. (JEMS) 17, 1629–1656 (2015)

5. Brandhorst, S., González-Alonso, V.: Automorphisms of minimal entropy on supersingular k3 surfaces. J. Lond. Math. Soc. 97, 282–305 (2016)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Salem numbers of automorphisms of K3 surfaces with Picard number 4;Comptes Rendus. Mathématique;2023-12-21

2. Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20;Journal of Number Theory;2023-11

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