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

The goal of this work is to extend the concepts of generalized Lelong numberof positive currents investigated by Skoda, Demailly and Ghiloufi in complexanalysis, to weakly positive supercurrents on the real superspaces. Wegeneralize then a result of Lagerberg when the supercurrent is closed as wellas a very recent result of Berndtsson for minimal supercurrents associated tosubmanifolds of $\mathbb{R}^n$. The main tool is a variant of the well-knownLelong-Jensen formula in the superformalism case. Moreover, we extend to oursetting various interesting theorems in complex analysis such as Demailly andRashkovskii comparison theorems. We also complete the work begun by Lagerbergon the degree of positive closed supercurrents and we prove a removablesingularities result for positive supercurrents.

Lelong-Jensen formula, Demailly-Lelong numbers and weighted degree of positive supercurrents