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

We study the behavior of the Hartshorne-Rao module in the unique component ofACM curves of degree $d_{r}=\frac{r(r+1)}{2}$ and genus$g_{r}=\frac{r(r+1)(2r-5)}{6}+1$, denoted by $\overline{\mathscr{C}_{r}}$. Inparticular, in the case of curves of degree $6$ and genus $3$ we prove that thesubvariety of curves with Hartshorne-Rao module of rank one in the component$\overline{\mathscr{C}_{3}}$ is a reducible divisor and the components of suchdivisor generate a face of the effective coneEff$(\overline{\mathscr{C}_{3}})$. In general, we verify that the subvariety ofcurves with Hartshorne-Rao module of rank one in $\overline{\mathscr{C}_{r}}$always contains a divisor.

On the behavior of the Hartshorne-Rao module in the Hilbert scheme of curves in $\mathbb{P}^{3}$