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 say a smooth projective surface $X$ satisfies the bounded cohomologyproperty if there exists a positive constant $c_X$ such that $h^1(\mathcalO_X(C))\le c_Xh^0(\mathcal O_X(C))$ for every prime divisor $C$ on $X$. Let theclosed Mori cone $\mathrm{NE}(X)=\mathbb R_{\ge0}[C_1]+\mathbb R_{\ge0}[C_2]$such that $C_1$ and $C_2$ with $C_2^2<0$ are some curves on $X$. If either (i)the Kodaira dimension $\kappa(X)\le1$ or (ii) $\kappa(X)=2$, the irregularity$q(X)=0$ and the Iitaka dimension $\kappa(X,C_1)=1$, then we prove that $X$satisfies the bounded cohomology property.

Bounded cohomology property on a smooth projective surface with Picard number two