Authors prove Ziegler's conjecture on generic cuts of free arrangements, disprove the one on minimal degree generators of logarithmic forms, and give positive answers to related problems.
Abe, Generalization of the addition and restriction theorems f rom free arrange- ments to the class of projective dimension one
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On Ziegler's conjectures for logarithmic derivations of arrangements
Authors prove Ziegler's conjecture on generic cuts of free arrangements, disprove the one on minimal degree generators of logarithmic forms, and give positive answers to related problems.