On the structure of brieskorn lattice
WebWe describe algorithmic methods for the Gauss–Manin connection of an isolated hypersurface singularity based on the microlocal structure of the Brieskorn lattice. They lead to algorithms for computing invariants like the monodromy, the spectrum, the spectral pairs, and M. Saito's matrices A 0 and A 1. These algorithms use a normal form … WebKeywords: Linear free divisors, prehomogenous vector spaces, quiver representations, Gauß-Manin-system, Brieskorn lattice, Birkhoff problem, spectral numbers, Frobenius manifolds. 1 Introduction In this paper we study Frobenius manifolds arising as deformation spaces of linear functions on certain non-isolated singularities, the so-called linear free …
On the structure of brieskorn lattice
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WebBrieskorn Modules and Gauss-Manin Systems for Non-isolated Hypersurface Singularities Daniel Barlet† and Morihiko Saito†† Abstract. We study the Brieskorn modules associated to a germ of holomorphic function with non-isolated singularities, and show that the Brieskorn module has naturally a structure of a Webtechnical conditions) then this local lattice structure can be used to systematically construct normal forms for all group elements, thereby ... [BS72] Egbert Brieskorn and Kyoji Saito, Artin-Gruppen und Coxeter-Gruppen, Invent. Math. 17(1972), 245–271. MR 48 #2263
WebarXiv:math/0101246v4 [math.AT] 4 May 2004 Annals of Mathematics, 158 (2003), 473–507 Hypersurface complements, Milnor fibers and higher homotopy groups WebWe study the structure of the filtered Gauss-Manin system associated to a holomorphic function with an isolated singularity, and get a basis of the Brieskorn lattice Ω X, 0 n + 1 / d f ∧ d Ω X, 0 n + 1 over ℂ {{∂ t-1}} such that the action of t is expressed by
Web1 de nov. de 2008 · We construct a compact classifying space for regular singular Brieskorn lattices and prove that its pure polarized part carries a natural hermitian … WebBRJESKORN LATTICE 35 (1.7.3) 9tt - a is nilpotent on Gr^M. 1.8. Let K be the subring of £ (cf. 1.4.2) whose elements commute with Qt, i.e. K = C^-1}}^] and fi : = C{{3f1}} is f^ ^, …
Webstructure of the Brieskorn lattice and the Fourier-Laplace transform [Sch00, SS01]. We use standard basis methods, univariate factoriza-tion, and a normal form algorithm for the microlocal structure of the Brieskorn lattice, the latter of which is not published yet. These meth-ods lead to algorithms [Sch02, Sch01a, Sch01b] to compute Hodge-
Web21 de ago. de 2001 · The differential structure of the Brieskorn lattice M. Schulze Mathematics 2002 We describe an algorithm to compute M. Saito's matrices A0 and A1 … great clips omaha ne pepperwoodWeb18 de mar. de 2014 · We study the integrable variation of twistor structure associated to any solution of the Toda lattice with opposite sign. In particular, we give a criterion when it has an integral structure. It follows from two results. One is the explicit computation of the Stokes factors of a certain type of meromorphic flat bundles. The other is an explicit … great clips omaha ne locationsgreat clips on 107th and oliveWebRésumé Abstract On étudie la structure du système de Gauss-Manin filtré associé à une fonction holomorphe à singularité isolée, et on obtient une base du réseau de Brieskorn … great clips on 104th in thornton coWebThe Brieskorn lattice of an isolated hypersurface singularity gives rise to an invariant of the right equivalence class of the singularity. It is finer than the mixed Hodge structure of the singularity, and it is a good candidate for Torelli type questions. great clips on 136 and coloradoWebThis article describes a normal form algorithm for the Brieskorn lattice of an iso-lated hypersurface singularity. It is the basis of efficient algorithms to compute the … great clips on 128 in cincinnatiWeb1 de out. de 2004 · The Brieskorn lattice (Brieskorn, 1970) is defined by H″=Ω n / d f∧ d Ω n−2 and becomes a C {t}-module by setting (1) t·[ω]=[fω] for [ω]∈H″. By Sebastiani … great clips on 136th and colorado hours