Dynamical degrees of birational transformations of projective surfaces
J Blanc, S Cantat - Journal of the American Mathematical Society, 2016 - ams.org
The dynamical degree $\lambda (f) $ of a birational transformation $ f $ measures the
exponential growth rate of the degree of the formulas that define the $ n $ th iterate of $ f …
exponential growth rate of the degree of the formulas that define the $ n $ th iterate of $ f …
Relative dynamical degrees of correspondences over a field of arbitrary characteristic
TT Truong - Journal für die reine und angewandte Mathematik …, 2020 - degruyter.com
Let 𝕂 be an algebraically closed field of arbitrary characteristic, X and Y irreducible possibly
singular algebraic varieties over 𝕂. Let f: X⊢ X and g: Y⊢ Y be dominant correspondences …
singular algebraic varieties over 𝕂. Let f: X⊢ X and g: Y⊢ Y be dominant correspondences …
Equidistribution problems in complex dynamics of higher dimension
Equidistribution of the orbits of points, subvarieties or of periodic points in complex dynamics
is a fundamental problem. It is often related to strong ergodic properties of the dynamical …
is a fundamental problem. It is often related to strong ergodic properties of the dynamical …
Non-liftability of automorphism groups of a K3 surface in positive characteristic
H Esnault, K Oguiso - Mathematische Annalen, 2015 - Springer
We show that a characteristic 0 0 model X_R → Spec\, R XR→ Spec R, with Picard number
1 1 over a geometric generic point, of a K3 surface in characteristic p ≥ 3 p≥ 3, essentially …
1 1 over a geometric generic point, of a K3 surface in characteristic p ≥ 3 p≥ 3, essentially …
Pisot units, Salem numbers, and higher dimensional projective manifolds with primitive automorphisms of positive entropy
K Oguiso - International Mathematics Research Notices, 2019 - academic.oup.com
We show that, in any dimension greater than one, there are an abelian variety, a smooth
rational variety and a Calabi–Yau manifold, with primitive birational automorphisms of first …
rational variety and a Calabi–Yau manifold, with primitive birational automorphisms of first …
Automorphisms of Supersingular K3 Surfaces and Salem Polynomials
I Shimada - Experimental Mathematics, 2016 - Taylor & Francis
We present a method to generate many automorphisms of a supersingular K 3 surface in
odd characteristic. As an application, we show that if p is an odd prime less than or equal to …
odd characteristic. As an application, we show that if p is an odd prime less than or equal to …
Automorphisms of minimal entropy on supersingular K3 surfaces
S Brandhorst… - Journal of the London …, 2018 - Wiley Online Library
In this article we give a strategy to decide whether the logarithm of a given Salem number is
realized as entropy of an automorphism of a supersingular K3 surface in positive …
realized as entropy of an automorphism of a supersingular K3 surface in positive …
Relations between dynamical degrees, Weil's Riemann hypothesis and the standard conjectures
TT Truong - Commentarii Mathematici Helvetici, 2024 - ems.press
Let K be an algebraically closed field, X a smooth projective variety over K and f WX! X a
dominant regular morphism. Let Ni. X/be the group of algebraic cycles, of codimension i …
dominant regular morphism. Let Ni. X/be the group of algebraic cycles, of codimension i …
A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic: With an appendix by Tomohide Terasoma
F Hu - Mathematische Annalen, 2020 - Springer
A theorem of Tits type for automorphism groups of projective varieties in arbitrary
characteristic | Mathematische Annalen Skip to main content SpringerLink Account Menu …
characteristic | Mathematische Annalen Skip to main content SpringerLink Account Menu …
Minimum positive entropy of complex Enriques surface automorphisms
K Oguiso, X Yu - 2020 - projecteuclid.org
We determine the minimum positive entropy of complex Enriques surface automorphisms.
This together with McMullen's work completes the determination of the minimum positive …
This together with McMullen's work completes the determination of the minimum positive …