Around the dynamical mordell-lang conjecture
J Xie - arXiv preprint arXiv:2307.05885, 2023 - arxiv.org
There are three aims of this note. The first one is to report some advances around the
dynamical Mordell-Lang (= DML) conjecture. Second, we generalize some known results …
dynamical Mordell-Lang (= DML) conjecture. Second, we generalize some known results …
Families of automorphisms on abelian varieties
C Favre, A Kuznetsova - Mathematische Annalen, 2024 - Springer
We consider some algebraic aspects of the dynamics of an automorphism on a family of
polarized abelian varieties parameterized by the complex unit disk. When the action on the …
polarized abelian varieties parameterized by the complex unit disk. When the action on the …
Regularizations of positive entropy pseudo-automorphisms
A Kuznetsova - arXiv preprint arXiv:2201.11689, 2022 - arxiv.org
We study positive entropy birational automorphisms of threefolds. We identify some
conditions which imply that such an automorphism is non-regularizable. We show that this …
conditions which imply that such an automorphism is non-regularizable. We show that this …
Regularizations of pseudo-automorphisms with positive algebraic entropy.
A Kuznetsova - Journal of Modern Dynamics, 2023 - search.ebscohost.com
We study birational automorphisms of threefolds which have positive algebraic entropy. We
identify some conditions which imply that such an automorphism is non-regularizable. We …
identify some conditions which imply that such an automorphism is non-regularizable. We …
[PDF][PDF] Alexandra Kuznetsova
C Favre - 2022 - theses.hal.science
Automorphismes birationnels des varietes Page 1 574 NNT : 2022IPP AX054
Automorphismes birationnels des varietes Th`ese de doctorat de l’Institut Polytechnique de …
Automorphismes birationnels des varietes Th`ese de doctorat de l’Institut Polytechnique de …
Birational automorphisms of varieties
A Kusnetsova - 2022 - theses.hal.science
The thesis covers various problems on groups of regular and birational automorphisms of
algebraic and complex varieties, and roughly explores the differences and similarities …
algebraic and complex varieties, and roughly explores the differences and similarities …
[PDF][PDF] Dynamical number of base-points of non base-wandering Jonquières twists
J Déserti - Osaka Journal of Mathematics, 2024 - projecteuclid.org
DYNAMICAL NUMBER OF BASE-POINTS OF NON BASE-WANDERING JONQUI`ERES
TWISTS Page 1 Déserti, J. Osaka J. Math. 61 (2024), 63–77 DYNAMICAL NUMBER OF …
TWISTS Page 1 Déserti, J. Osaka J. Math. 61 (2024), 63–77 DYNAMICAL NUMBER OF …
On regularizable birational maps
J Déserti - arXiv preprint arXiv:2002.02658, 2020 - arxiv.org
Bedford asked if there exists a birational self map $ f $ of the complex projective plane such
that for any automorphism $ A $ of the complex projective plane $ A\circ f $ is not conjugate …
that for any automorphism $ A $ of the complex projective plane $ A\circ f $ is not conjugate …