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math.AG2026
Regularization and algebraic stability of birational automorphisms
Alexandra Kuznetsova
We compare five natural classes of birational automorphisms of an algebraic variety: projectively regularizable, regularizable, projectively pseudo-regularizable, pseudo-regulariza…
math.AG2025
Automorphisms of bounded growth
Alexandra Kuznetsova
We study birational automorphisms of algebraic varieties of bounded growth, i.e. such that the norms of the inverse images of th…
math.AG2023
Families of automorphisms of abelian varieties
Charles Favre, Alexandra Kuznetsova
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 coho…