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Sur la dynamique du groupe d'automorphismes des surfaces K3
- Source :
- Transformation Groups, Transformation Groups, 2001, 6 (3), pp.201-214. ⟨10.1007/BF01263089⟩, Transformation Groups, Springer Verlag, 2001, 6 (3), pp.201-214. ⟨10.1007/BF01263089⟩, Transformation Groups, Springer Verlag, 2001, 6 (3), pp.201-214. 〈10.1007/BF01263089〉
- Publication Year :
- 2001
- Publisher :
- Springer Science and Business Media LLC, 2001.
-
Abstract
- International audience; We study the dynamics of the automorphisms group of K3 surfaces. Assuming that the surface contains two elliptic fibrations that are invariant by non-periodic automorphisms, we give the classification of invariant probability measures. We also describe the closure of orbits and then give applications to the repartition of rational points on K3 surfaces.
- Subjects :
- Pure mathematics
Algebra and Number Theory
Discrete group
010102 general mathematics
Mathematical analysis
16. Peace & justice
Automorphism
01 natural sciences
37C85
14J50
32A05
K3 surface
010104 statistics & probability
Complex space
Rational point
Geometry and Topology
0101 mathematics
Invariant (mathematics)
Group theory
Probability measure
Mathematics
Subjects
Details
- ISSN :
- 1531586X and 10834362
- Volume :
- 6
- Database :
- OpenAIRE
- Journal :
- Transformation Groups
- Accession number :
- edsair.doi.dedup.....bfa5eaee39e210b36458b26fc0489605
- Full Text :
- https://doi.org/10.1007/bf01263089