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arXiv · 2506.23950

Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces

Alexandru Dimca·Gabriel Sticlaru
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Abstract

Two properties of projective hypersurfaces related to the module of Jacobian derivations, namely being tame and being plus-one generated, are discussed in this paper. Tame hypersurfaces are related to Bourbaki ideals, and free hypersurfaces are the simplest examples of tame hypersurfaces. Plus-one generated hypersurfaces are the non free hypersurfaces which are closest to the free ones, and it is an open question whether all of them are tame.

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Alexandru Dimca, Gabriel Sticlaru. 2025-06-30. Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces. https://arxiv.org/abs/2506.23950

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