Random dynamics on real and complex projective surfaces
S Cantat, R Dujardin - Journal für die reine und angewandte …, 2023 - degruyter.com
We initiate the study of random iteration of automorphisms of real and complex projective
surfaces, as well as compact Kähler surfaces, focusing on the classification of stationary …
surfaces, as well as compact Kähler surfaces, focusing on the classification of stationary …
Finite orbits for large groups of automorphisms of projective surfaces
S Cantat, R Dujardin - arxiv preprint arxiv:2012.01762, 2020 - arxiv.org
We study finite orbits for non-elementary groups of automorphisms of compact projective
surfaces. In particular we prove that if the surface and the group are defined over a number …
surfaces. In particular we prove that if the surface and the group are defined over a number …
Gaps in the support of canonical currents on projective K3 surfaces
S Filip, V Tosatti - The Journal of Geometric Analysis, 2024 - Springer
We construct examples of canonical closed positive currents on projective K3 surfaces that
are not fully supported on the complex points. The currents are the unique positive …
are not fully supported on the complex points. The currents are the unique positive …
Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
S Cantat, C Dupont - Journal of the European Mathematical Society, 2020 - ems.press
We classify complex projective surfaces X with an automorphism f of positive entropy for
which the unique measure of maximal entropy is absolutely continuous with respect to the …
which the unique measure of maximal entropy is absolutely continuous with respect to the …
Rigid currents on compact hyperkahler manifolds
A rigid cohomology class on a complex manifold is a class that is represented by a unique
closed positive current. The positive current representing a rigid class is also called rigid. For …
closed positive current. The positive current representing a rigid class is also called rigid. For …
Exponential mixing of all orders and CLT for automorphisms of compact K {\" a} hler manifolds
We consider the unique measure of maximal entropy of an automorphism of a compact K {\"
a} hler manifold with simple action on cohomology. We show that it is exponentially mixing of …
a} hler manifold with simple action on cohomology. We show that it is exponentially mixing of …
[PDF][PDF] Semipositive line bundles and (1, 1)-classes
V Tosatti - arxiv preprint arxiv:2309.00580, 2023 - arxiv.org
arxiv:2309.00580v1 [math.CV] 1 Sep 2023 Page 1 arxiv:2309.00580v1 [math.CV] 1 Sep 2023
SEMIPOSITIVE LINE BUNDLES AND (1,1)-CLASSES VALENTINO TOSATTI Abstract. We …
SEMIPOSITIVE LINE BUNDLES AND (1,1)-CLASSES VALENTINO TOSATTI Abstract. We …
Smooth and rough positive currents
S Filip, V Tosatti - Annales de l'Institut Fourier, 2018 - numdam.org
We study the different notions of semipositivity for (1, 1) cohomology classes on K3 surfaces.
We first show that every big and nef class (and every nef and rational class) is semiample …
We first show that every big and nef class (and every nef and rational class) is semiample …
Finite orbits for large groups of automorphisms of projective surfaces
S Cantat, R Dujardin - Compositio Mathematica, 2024 - cambridge.org
We study finite orbits of non-elementary groups of automorphisms of compact projective
surfaces. We prove that if the surface and the group are defined over a number field. An …
surfaces. We prove that if the surface and the group are defined over a number field. An …
Tropical dynamics of area-preserving maps
S Filip - arxiv preprint arxiv:1903.00794, 2019 - arxiv.org
arxiv:1903.00794v1 [math.DS] 2 Mar 2019 Page 1 TROPICAL DYNAMICS OF AREA-PRESERVING
MAPS SIMION FILIP March 2018 Dedicated to the memory of Bill Veech Abstract. We …
MAPS SIMION FILIP March 2018 Dedicated to the memory of Bill Veech Abstract. We …