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 investigate the construction of real analytic Levi-flat hypersurfaces inK3 surfaces. By taking images of real hyperplanes, one can construct suchhypersurfaces in two-dimensional complex tori. We show that "almost every" K3surfaces contains infinitely many Levi-flat hypersurfaces of this type. Theproof relies mainly on a recent construction of Koike and Uehara, ideas ofVerbitsky on ergodic complex structures, as well as an argument due to Ghys inthe context of the study of the topology of generic leaves.  --  On s'int\'eresse \`a la construction d'hypersurfaces Levi-plates analytiquesr\'elles dans les surfaces K3. On peut en construire dans les tores complexesde dimension 2 en prenant des images d'hyperplans r\'eels. On montre que"presque toute" surface K3 contient une infinit\'e d'hypersurfaces Levi-platesde ce type. La preuve repose principalement sur une construction r\'ecente due\`a Koike-Uehara, ainsi que sur les id\'ees de Verbitsky sur les structurescomplexes ergodiques et une adaptation d'un argument d\^u \`a Ghys dans lecadre de l'\'etude de la topologie des feuilles g\'en\'eriques.

Presque toute surface K3 contient une infinit\'e d'hypersurfaces Levi-plates lin\'eaires