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/

Zendy Plus

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

Zendy Tools

Zendy Open

In algebraic geometry, superspecial curves are important research objects.While the number of superspecial genus-3 curves in characteristic $p$ is known,the number of hyperelliptic ones among them has not been determined even forsmall $p$. In this paper, in order to compute the latter number, we give analgorithm for computing the Richelot isogeny graph of superspecial abelianthreefolds by using theta functions. Our algorithm enables us to efficientlylist superspecial genus-3 curves, and we succeeded in counting hyperellipticcurves among them when $11 \leq p < 100$ by executing our algorithm in Magma.

Listing superspecial curves of genus three by using Richelot isogeny graph