Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces
Algebraic Geometry
2025-07-15 v3
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.
Keywords
Cite
@article{arxiv.2506.23950,
title = {Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces},
author = {Alexandru Dimca and Gabriel Sticlaru},
journal= {arXiv preprint arXiv:2506.23950},
year = {2025}
}
Comments
v3: Question 5.1 is modified