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

In this paper we show that every rational cohomology class of type $(p,p)$ ona compact K\"ahler manifold can be representated as a differential $(p,p)$-formgiven by an explicit formula involving a \v{C}ech cocycle. First we representChern characters of smooth vector bundles by \v{C}ech cocycles with values inthe sheaf of differential forms. We then consider the behavior of thesecocycles with respect to the Hodge structure on cohomology when the basemanifold is compact K\"ahler.

Hodge classes of Chern character forms on compact K\"ahler manifolds