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 establish a torsion theorem to the effect that the unique zero of theKodaira-Spencer map attached to a certain quasi-semistable family of complexprojective varieties over the complex projective line is the image of a torsionpoint of an elliptic curve under the natural projection. The proof is a mod $p$argument and requires a density one set of primes. There are three essentialingredients in the proof: a solution to the conjecture of Sun-Yang-Zuo, whichconstitutes the principal part of the paper, Pink's theorem, and Higgsperiodicity theorem.

A torsion property of the zero of Kodaira-Spencer over $\mathbb{P}^1$ removing four points