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 a series of work [Wor22],[Wor21] and [CW20], algebraic capacity wasintroduced in an algebraic manner for polarized surfaces and applied to thesymplectic embedding problems. In this note, we give a reformulation ofalgebraic capacity in terms of almost complex geometry. For rational surfaceswith $c_1\cdot\omega > 0$, we further introduce a sequence of tropicalpolynomials which will describe those capacities viewed as functions over thespace of such symplectic forms. As an application, we give a direct proof ofthe correspondence between algebraic capacity and ECH capcity for smooth toricsurface without terminology from algebraic geometry.

Algebraic capacity as tropical polynomial over $c_1$-nef symplectic cone