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/

Zendy Plus

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

Zendy Tools

Zendy Open

In the last decades affine algebraic varieties and Stein manifolds with big(infinite-dimensional) automorphism groups have been intensively studied.Several notions expressing that the automorphisms group is big have beenproposed. All of them imply that the manifold in question is anOka-Forstneri\v{c} manifold. This important notion has also recently mergedfrom the intensive studies around the homotopy principle in Complex Analysis.This homotopy principle, which goes back to the 1930's, has had an enormousimpact on the development of the area of Several Complex Variables and thenumber of its applications is constantly growing. In this overview article wepresent 3 classes of properties: 1. density property, 2. flexibility 3.Oka-Forstneri\v{c}. For each class we give the relevant definitions, its mostsignificant features and explain the known implications between all theseproperties. Many difficult mathematical problems could be solved by applyingthe developed theory, we indicate some of the most spectacular ones.

Flexibility properties in Complex Analysis and Affine Algebraic Geometry