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

A cusp singularity is an elliptic surface singularity whose minimalresolution is a cycle of smooth rational curves meeting transversely. Cuspsingularities come in naturally dual pairs. In 1981, Looijenga proved thatwhenever a cusp singularity is smoothable, the minimal resolution of the dualcusp is an anticanonical divisor of some smooth rational surface. Heconjectured the converse. Recent work of Gross, Hacking, and Keel has provenLooijenga's conjecture using methods from mirror symmetry. This paper providesan alternative proof of Looijenga's conjecture based on a combinatorialcriterion for smoothability given by Friedman and Miranda in 1983.

Looijenga's Conjecture via Integral-affine Geometry