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

We show that on smooth minimal surfaces of general type, the K\"ahler-Ricciflow starting at any initial K\"ahler metric converges in the Gromov-Hausdorffsense to a K\"ahler-Einstein orbifold surface. In particular, the diameter ofthe evolving metrics is uniformly bounded for all time and the K\"ahler-Ricciflow contracts all the holomorphic spheres with $(-2)$ self-intersection numberto isolated orbifold points. Our estimates do not require a priori theexistence of an orbifold K\"ahler-Einstein metric on the canonical model.

Geometric convergence of the K\"ahler-Ricci flow on complex surfaces of general type