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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study the non-klt locus of singularities of pairs. We show that given apair $(X,B)$ and a projective morphism $X\to Z$ with connected fibres such that$-(K_X+B)$ is nef over $Z$, the non-klt locus of $(X,B)$ has at most twoconnected components near each fibre of $X\to Z$. This was conjectured by Haconand Han.  In a different direction we answer a question of Mark Gross on connectednessof the non-klt loci of certain pairs. This is motivated by constructions inMirror Symmetry.

On connectedness of non-klt loci of singularities of pairs