ALGEBRAIC VERSUS TOPOLOGICAL ENTROPY FOR SURFACES OVER FINITE FIELDS
By H. Esnault, V. Srinivas. 2011
51 citations recorded by the source corpus.
We show that, as in de Rham cohomology over the complex numbers, the value of the entropy of an automorphism of the surface over a finite fi eld q is taken on the span of the Neron‐Severi group inside of l-adic cohomology.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0a805d6fe5015e29c36e148ad5f8c15419894d18
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- N. Sibony
- T. Dinh
- Serge Cantat
- De-Qi Zhang
- Tuyen T. T. Truong
- Franccois Berteloot
- Romain Dujardin
- Nguyen-Bac Dang
In Mathematical Physics
- T. Dinh
- N. Sibony
- Serge Cantat
- Nguyen-Bac Dang
- Tuyen T. T. Truong
- De-Qi Zhang
- Franccois Berteloot
- Romain Dujardin
Citations in the corpus
- Equidistribution problems of complex dynamics in higher dimension (2016, background): “The reader will find in [40, 41, 76] and the references therein some recent algebraic counterparts of the topics presented in this paper.”
- Lectures on K3 Surfaces (2016, unknown): “Essentially the same argument has been applied by Esnault and Srinivas in [171] to prove the following result, which we state only for K3 surfaces: Let (X,L) be a polarized K3 surface over an algebraically closed field k and let f ∈ Aut(X).”
- Dynamics of automorphisms of compact complex surfaces (2014, background): “Then pluri-potential theory can be applied successfully to construct good f -invariant laminar currents and the unique measure of maximal entropy; this measure describes the distribution of periodic points: See [6] and [66], as well as [50, 51, 52].”