On Bernstein–Sato ideals for central line arrangements
نویسندگان
چکیده
The polynomial α=xy∏i=3m(aix+y)∈C[x,y] determines a plane central line arrangement α = 0. We compute explicitly multivariate Bernstein–Sato ideals of α by using the decomposition behavior D2...
منابع مشابه
On Invariant Line Arrangements
We classify all arrangements of lines that are invariant under foliations of degree 4 of the real projective plane.
متن کاملConjugation-free Groups, Lower Central Series and Line Arrangements
The quotients Gk/Gk+1 of the lower central series of a finitely presented group G are an important invariant of this group. In this work we investigate the ranks of these quotients in the case of a certain class of conjugation-free groups, which are groups generated by x1, . . . , xn and having only cyclic relations: xitxit−1 · . . . · xi1 = xit−1 · . . . · xi1xit = · · · = xi1xit · . . . · xi2...
متن کاملCOORDINATE SUBSPACE ARRANGEMENTS and MONOMIAL IDEALS
We relate the (co)homological properties of real coordinate subspace arrangements and of monomial ideals.
متن کاملTwo Counterexamples for Power Ideals of Hyperplane Arrangements
We disprove Holtz and Ron’s conjecture that the power ideal CA,−2 of a hyperplane arrangement A (also called the internal zonotopal space) is generated by A-monomials. We also show that, in contrast with the case k ≥ −2, the Hilbert series of CA,k is not determined by the matroid of A for k ≤ −6. Remark. This note is a corrigendum to our article [1], and we follow the notation of that paper.
متن کاملOn shortest paths in line arrangements
In this paper, we show that the shortest path between two points in a grid-like arrangement of two pencils of lines has a particularly simple structure, as was previously conjectured. This gives a linear-time algorithm for computing shortest paths in such arrangements.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2021
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2021.1915323