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On the freeness of hypersurface arrangements consisting of hyperplanes and spheres
oleh: Gao Ruimei, Dai Qun, Li Zhe
Format: | Article |
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Diterbitkan: | De Gruyter 2018-04-01 |
Deskripsi
Let V be a smooth variety. A hypersurface arrangement ๐ in V is a union of smooth hypersurfaces, which locally looks like a union of hyperplanes. We say ๐ is free if all these local models can be chosen to be free hyperplane arrangements. In this paper, we use Saitoโs criterion to study the freeness of hypersurface arrangements consisting of hyperplanes and spheres, and construct the bases for the derivation modules explicitly.