Bernstein-Sato ideals and local systems
نویسندگان
چکیده
منابع مشابه
Local Bernstein-Sato ideals: Algorithm and examples
Let k be a field of characteristic 0. Given a polynomial mapping f = (f1, . . . , fp) from kn to kp, the local Bernstein–Sato ideal of f at a point a ∈ kn is defined as an ideal of the ring of polynomials in s = (s1, . . . , sp). We propose an algorithm for computing local Bernstein–Sato ideals by combining Gröbner bases in rings of differential operators with primary decomposition in a polynom...
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Global and local Bernstein-Sato ideals, Bernstein-Sato polynomials and Bernstein-Sato polynomials of varieties are introduced, their basic properties are proven and their algorithmic determination with the method of Briançon/Maisonobe is presented. Strati cations with respect to the local variants of the introduced polynomials and ideals with the methods of Bahloul/Oaku and Levandovskyy/Martín-...
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Multiplier ideals are very important in higher dimensional geometry to study the singularities of ideal sheaves. It reflects the singularities of the ideal sheaves and provides strong vanishing theorem called the Kawamata-Viehweg-Nadel vanishing theorem (see [3]). However, the multiplier ideals are defined via a log resolution of the ideal sheaf and divisors on the resolved space, and it is dif...
متن کامل. A G ] 3 0 Ju n 20 08 ALGORITHM FOR COMPUTING LOCAL BERNSTEIN - SATO IDEALS
Given p polynomials of n variables over a field k of characteristic 0 and a point a ∈ k, we propose an algorithm computing the local Bernstein-Sato ideal at a. Moreover with the same algorithm we compute a constructible stratification of k such that the local Bernstein-Sato ideal is constant along each stratum. Finally, we present non-trivial examples computed with our algorithm.
متن کاملAlgorithm for Computing Bernstein-Sato Ideals Associated with a Polynomial Mapping
Let n, p be two strictly positive integers, and let f1(x), . . . , fp(x) ∈ K[x] := K[x1, . . . , xn] be p polynomials of n variables with coefficients in a fieldK of characteristic zero. Denote by An = K[x1, . . . , xn]〈∂x1 , . . . , ∂xn〉 the Weyl algebra with n variables and let s1, . . . , sp be new variables. Denote by L = K[x][f−1 1 , . . . , f−1 p , s1, . . . , sp] · f the free module gene...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2015
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2939