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On the freeness of hypersurface arrangements consisting of hyperplanes and spheres

On the freeness of hypersurface arrangements consisting of hyperplanes and spheres AbstractLet V be a smooth variety. A hypersurface arrangement 𝓜 in V is a union of smooth hypersurfaces, which locally looks like a union of hyperplanes. We say 𝓜 is free if all these local models can be chosen to be free hyperplane arrangements. In this paper, we use Saito’s criterion to study the freeness of hypersurface arrangements consisting of hyperplanes and spheres, and construct the bases for the derivation modules explicitly. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

On the freeness of hypersurface arrangements consisting of hyperplanes and spheres

Open Mathematics , Volume 16 (1): 10 – Apr 23, 2018

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References (21)

Publisher
de Gruyter
Copyright
© 2018 Gao et al., published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0041
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Open Mathematicsde Gruyter

Published: Apr 23, 2018

Keywords: Hypersurface arrangement; Freeness; Hyperplane; Sphere; 52C35; 32S22

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