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- W3101985489 abstract "We study the change of the minimal degree of a logarithmic derivation of a hyperplane arrangement under the addition or the deletion of a hyperplane and give a number of applications. First, we prove the existence of Tjurina maximal line arrangements in a lot of new situations. Then, starting with Ziegler’s example of a pair of arrangements of $$d=9$$ lines with $$n_3=6$$ triple points in addition to some double points, having the same combinatorics, but distinct minimal degree of a logarithmic derivation, we construct new examples of such pairs, for any number $$dge 9$$ of lines, and any number $$n_3ge 6$$ of triple points. Moreover, we show that such examples are not possible for line arrangements having only double and triple points, with $$n_3 le 5$$ ." @default.
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- W3101985489 date "2020-11-16" @default.
- W3101985489 modified "2023-10-13" @default.
- W3101985489 title "Addition–deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements" @default.
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- W3101985489 doi "https://doi.org/10.1007/s10801-020-00986-9" @default.
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