English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We define the Kobayashi quotient of a complex variety by identifying pointswith vanishing Kobayashi pseudodistance between them and show that if a compactcomplex manifold has an automorphism whose order is infinite, then the fibersof this quotient map are nontrivial. We prove that the Kobayashi quotientsassociated to ergodic complex structures on a compact manifold are isomorphic.We also give a proof of Kobayashi's conjecture on the vanishing of thepseudodistance for hyperk\"ahler manifolds having Lagrangian fibrations withoutmultiple fibers in codimension one. For a hyperbolic automorphism of ahyperk\"ahler manifold, we prove that its cohomology eigenvalues are determinedby its Hodge numbers, compute its dynamical degree and show that itscohomological trace grows exponentially, giving estimates on the number of itsperiodic points.

On the Kobayashi pseudometric, complex automorphisms and hyperkaehler manifolds