On the structure of brieskorn lattice
WebWe give a simple proof of the uniqueness of extensions of good sections for formal Brieskorn lattices, which can be used in a paper of C. Li, S. Li, and K. Saito for the proof of convergence in the non-quasihomogeneous polynomial case. Our proof uses an exponential operator argument as in their paper, although we do not use polyvector fields nor smooth … WebA. Douai, C. Sabbah, Gauss-Manin systems, Brieskorn lattices and Frobenius structures (II), (2002) Zbl1079.32024 MR2115764 B. Dubrovin, Geometry of 2D topological field theory, Integrable systems and quantum groups vol. 1260 …
On the structure of brieskorn lattice
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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- http://archive.numdam.org/article/AIF_1989__39_1_27_0.pdf
Webmanifolds with isolated critical points. In this case, one can also define a Brieskorn lattice, which contains more information than the sum of the local Brieskorn lattices at the critical points, in particular, its structure depends very much on the behavior of the function at infinity. In [Sab06], a precise condition, called cohomological Web5 de jul. de 2003 · Abstract We describe an algorithm to compute M. Saito's matrices A0 and A1 for an isolated hypersurface singularity. They determine the differential structure of …
WebClassifying spaces and moduli spaces are constructed for two invariants of isolated hypersurface singularities, for the polarized mixed Hodge structure on the middle … 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
WebOn the structure of Brieskorn lattices, II Saito, Morihiko We give a simple proof of the uniqueness of extensions of good sections for formal Brieskorn lattices, which can be …
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 eastminister presbyterian church wichitaWeb23 de dez. de 2013 · Abstract: We present a possibly simpler proof of the uniqueness of extensions of good sections for formal Brieskorn lattices. This uniqueness seems to … cult vs religion chartWeb1 de out. de 2004 · He gave an ad hoc definition of an object H″, later called the Brieskorn lattice. Its great importance was a priori not clear. The complex monodromy can be expressed in terms of the differential structure of the Brieskorn lattice. The finest known invariants come from a mixed Hodge structure associated to an isolated hypersurface … eastminister community gardenhttp://www.numdam.org/articles/10.5802/aif.1157/ cult waco texas massacreWebbrieskorn lattice differential structure differential operator complex coordinate monodromy representation let milnor number homotopy equivalent reduced cohomology cohomology bundle good representative matrix a0 kronecker symbol milnor fibration finite determinacy theorem milnor number dim e.j.n looijenga open disk complex local system free ... cult walking shoesWebThe Brieskorn lattice H′′ of an isolated hypersurface singularity with Milnor number μ is a free C{{s}}-module of rank μ with a differential operator t=s2∂s. Based on the mixed … cult wacoWebCompositio Mathematica 116: 1–37, 1999. 1 c 1999 Kluwer Academic Publishers. Printed in the Netherlands. Classifying Spaces for Polarized Mixed Hodge Structures and for … cult waco texas