Geodesic
Combinatorially determined zeroes of Bernstein--Sato ideals for tame and free arrangements
Journal of Singularities, Tome 20 (2020), pp. 165-204

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For a central, not necessarily reduced, hyperplane arrangement f equipped with any factorization f = f_1 ... f_r and for f' dividing f, we consider a more general type of Bernstein--Sato ideal consisting of the polynomials B(S) \in C[s_1, ..., s_r] satisfying the functional equation B(S)f' f_1^{s_1}...f_r^{s_r} \in A_n(C)[s_1,..., s_r] f_1^{s_1 + 1}...f_{r}^{s_r + 1}.
DOI : 10.5427/jsing.2020.20h
Classification : :14F10, :32S40, 32S05, 32S22, 32C38 
@article{10_5427_jsing_2020_20h,
     author = {Daniel Bath},
     title = {Combinatorially determined zeroes of {Bernstein--Sato} ideals for tame and free arrangements},
     journal = {Journal of Singularities},
     pages = {165--204},
     publisher = {mathdoc},
     volume = {20},
     year = {2020},
     doi = {10.5427/jsing.2020.20h},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.20h/}
}
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Daniel Bath. Combinatorially determined zeroes of Bernstein--Sato ideals for tame and free arrangements. Journal of Singularities, Tome 20 (2020), pp. 165-204. doi: 10.5427/jsing.2020.20h

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