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 investigate the connection between Osserman limit series (on curves ofpseudocompact type) and Amini-Baker limit linear series (on metrized complexeswith corresponding underlying curve) via a notion of pre-limit linear series oncurves of the same type. Then, applying the smoothing theorems of Ossermanlimit linear series, we deduce that, fixing certain metrized complexes, or forcertain types of Amini-Baker limit linear series, the smoothability isequivalent to a certain "weak glueing condition". Also for arbitrary metrizedcomplexes of pseudocompact type the weak glueing condition (when it applies) isnecessary for smoothability. As an application we confirm the lifting propertyof specific divisors on the metric graph associated to a certain regularsmoothing family, and give a new proof of the main theorem in the paper ofCartwright, Jensen and Payne for vertex avoiding divisors, and generalizeloc.cit. for divisors of rank one in the sense that, for the metric graph,there could be at most three edges (instead of two) between any pair ofadjacent vertices.

Smoothing of limit linear series on curves and metrized complexes of pseudocompact type