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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The Prym-Green Conjecture predicts that the resolution of a generic n-torsionparacanonical curve of every genus is natural. The conjecture has mostly beenstudied so far for level 2, that is, for Prym-canonical curves. Using aconstruction of Barth and Verra that realizes torsion bundles on sections ofspecial K3 surfaces, we prove the Prym-Green Conjecture for curves of odd genusg and torsion bundles of sufficiently high order with respect to g. We alsogive partial results in even genus. In the process, we confirm the expectationof Barth and Verra concerning the number of curves in a fixed linear system ona K3 surface, having an n-torsion line bundle induced by restriction from theK3 surface.

The Prym-Green Conjecture for torsion bundles of high order