We introduce the notion of the Bernstein–Sato polynomial of an arbitrary variety (which is not
necessarily reduced nor irreducible) using the theory of V-filtrations of M. Kashiwara and B …

The topology of smooth quasi-projective complex varieties is very restrictive. One aspect of
this statement is the fact that natural strata of local systems, called cohomology support loci …

In this article, we study functional analytic properties of the meromorphic families of
distributions $(\prod_ {i= 1}^ p (f_j+ i0)^{\lambda_j}) _ {(\lambda_1,\dots,\lambda_p)\in …

Our purpose in this course was to give a survey of the various aspects, algebraic, analytic
and formal, of the functional equations which are satisfied by the powers fs of a function f …

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 …

The paper reviews recent developments in the study of Alexander invariants of quasi-
projective manifolds using methods of singularity theory. Several results in topology of the …

We define Bernstein–Sato polynomials for meromorphic functions and study their basic
properties. In particular, we prove a Kashiwara–Malgrange-type theorem on their geometric …

Full article: Combinatorial Description of the Roots of the Bernstein–Sato Polynomials for
Monomial Ideals Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

The aim of this manuscript is to provide a complete and precise formulation of the
renormalization picture for perturbative Quantum Field Theory (pQFT) on general curved …

Noncommutative Computer Algebra with Applications in Algebraic Analysis Page 1
Noncommutative Computer Algebra with Applications in Algebraic Analysis Von der …