On the freeness of hypersurface arrangements consisting of hyperplanes and spheres

oleh: Gao Ruimei, Dai Qun, Li Zhe

Format: Article
Diterbitkan: De Gruyter 2018-04-01

Deskripsi

Let V be a smooth variety. A hypersurface arrangement ๐“œ in V is a union of smooth hypersurfaces, which locally looks like a union of hyperplanes. We say ๐“œ is free if all these local models can be chosen to be free hyperplane arrangements. In this paper, we use Saitoโ€™s criterion to study the freeness of hypersurface arrangements consisting of hyperplanes and spheres, and construct the bases for the derivation modules explicitly.