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Sunday, July 12, 2020 | History

6 edition of The monodromy groups of isolated singularities of complete intersections. found in the catalog.

The monodromy groups of isolated singularities of complete intersections.

by Wolfgang Ebeling

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Published by Springer-Verlag in Berlin .
Written in English


Edition Notes

SeriesLecture notes in mathematics -- 1293, Lecture notes in mathematics (Berlin) -- 1293.
ID Numbers
Open LibraryOL15275221M
ISBN 103540186867

method for explicitly presenting the monodromy as a product of Dehn twists was not given. Nevertheless, using the description therein, such a presentation for the monodromy of an open book decomposition supporting the canonical contact structure on the link of each type of simple singularity was given. In [10], by using a. 3, with an isolated singularity at 0, admits a C∞ normal section (away from 0) iff its multiplicity (or local index) is even, and this happens iff its normal bundle in B r \{0} is topologically trivial. 0 Introduction Let X⊂ C N be an affine complex analytic variety of dimension n>1, with an isolated complete intersection singularity .

COMPOSITIO MATHEMATICA ALEXANDRU DIMCA Onthehomologyandcohomologyofcomplete intersectionswithisolatedsingularities. ON THE HOMOLOGY AND COHOMOLOGY OF COMPLETE. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): For a projective variety Z and for any integer p, define the p-th Néron-Severi group NSp(Z) of Z as the image of the cycle map Ap(Z) → H2p(Z; C). Now let X ⊂ P2m+1 (m ≥ 1) be a projective variety of dimension 2m − 1, with isolated singularities, complete intersection of a smooth hypersurface of degree k, with.

The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in It will be.   Author of Lattices and codes, The monodromy groups of isolated singularities of complete intersections, Complex and Differential Geometry, Funktionentheorie, Differentialtopologie und Singularitäten. Eine Einführung mit Ausblicken, Monodromy Groups Groups of Isolated Singularities of Complete Intersections, Lattices and Codes, Lattices and Codes.


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The monodromy groups of isolated singularities of complete intersections by Wolfgang Ebeling Download PDF EPUB FB2

The Monodromy Groups of Isolated Singularities of Complete Intersections. Authors; Wolfgang Ebeling; Invariants of complete intersections. Wolfgang Ebeling. Pages Computation of Dynkin diagrams. Wolfgang Ebeling. Pages Milnor lattices and monodromy groups.

Wolfgang Ebeling. Pages Monodromy groups of symmetric. The Monodromy Groups of Isolated Singularities of Complete Intersections. Authors: Ebeling, Wolfgang Free PreviewBrand: Springer-Verlag Berlin Heidelberg.

The Monodromy Groups of Isolated Singularities of Complete Intersections | Wolfgang Ebeling (auth.) | download | B–OK. Download books for free. Find books. Monodromy groups of isolated singularities of complete intersections. Berlin ; New York: Springer-Verlag, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Wolfgang Ebeling.

The Monodromy Groups of Isolated Singularities of Complete Intersections. Find all books from Wolfgang Ebeling. At you can find used, antique and new books, compare results and immediately purchase your selection at the best price.

Hard to find book Paperback, [PU: Springer-Verlag Brand: Springer-Verlag Gmbh. Vanishing lattices and monodromy groups of isolated complete intersection singularities Article (PDF Available) in Inventiones mathematicae 90(3) January with Reads.

Abstract. Following Newton, Ivory and Arnold, we study the Newtonian potentials of algebraic hypersurfaces in R ramification of (analytic continuations of) these potential depends on a monodromy group, which can be considered as a proper subgroup of the local monodromy group of a complete intersection (acting on a twisted vanishing homology group if n is odd).

Vanishing homology and local monodromy of complete intersections Here we recall the basic facts about the local Picard–Lefschetz theory of isolated singularities of complete intersections (see e.g.

[H], [E], [AGLV]) and extend them to the case of twisted vanishing homology groups. Classical theory. Let f: (Cn,0) → (Cp,0) be a. interesting examples of isolated singularities (or of constructions thereof) with the purpose to indicate the position of complete intersection singularities among them and to describe material to which the theory is going to apply.

It is mainly for the Monodromy Groups and. • Generalizations to non-isolated singularities. Here we refer to the survey of D. Siersma []. • Monodromy groups. We do not talk about monodromy groups of iso-lated complete intersection singularities. We refer to our book [51] for this topic.

• Braid monodromy. Recently, M. L¨onne introduced a notion of braid monodromy of singularities. Vanishing lattices and monodromy groups of isolated com-plete intersection singularities. Ebeling, W. Abstract.

Not Available. Publication: Inventiones Mathematicae. Pub Date: DOI: /BF Bibcode: InMatE full text sources. Ebeling W. () Monodromy groups of symmetric vanishing lattices. In: The Monodromy Groups of Isolated Singularities of Complete Intersections.

Lecture Notes in Mathematics, vol Monodromy groups of isolated singularities of complete intersections. Berlin ; New York: Springer-Verlag, © (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Wolfgang Ebeling.

Get this from a library. The monodromy groups of isolated singularities of complete intersections. [Wolfgang Ebeling].

Ebeling W. () Invariants of complete intersections. In: The Monodromy Groups of Isolated Singularities of Complete Intersections. Lecture Notes in Mathematics, vol THE MONODROMY GROUPS OF ISOLATED SINGULARITIES OF HYPERSURFACES S M Husein-Zade-This content was downloaded from IP address on 05/10/ at aware, g-theory for complete intersections has not been published.

Secondly, some of the results used in this paper (for example, those from [19]) have not been proved. The first case which has been studied in detail was that of a hypersurface singularity. In this case the cohomology of the link could be determined using the monodromy map on the Milnor fibre.

In the case of a complete intersection the relation between link and Milnor fibre is more complicated. again an isolated singularity of complete intersection with n = dim X, = dim X - 1 2 1. If X, denotes the Milnor fiber of the singularity (X, 0), then there is a natural (complex) monodromy operator h: H”(x, C) -+ H”(8, associated to the function f [lS].

First, a monodromy group from all families which contain a fixed singularity is studied. It consists of automorphisms of the Milnor lattice which respect not only the intersection form, but also.

mu-constant families of holomorphic function germs with isolated singularities are considered from a global perspective. First, a monodromy group from all families which contain a fixed singularity is studied. It consists of automorphisms of the Milnor lattice which respect not only the intersection form, but also the Seifert form and the monodromy.

We conjecture that it contains all such. Book. Jan ; Mark Goresky symplectic algebra of the 1-dimensional isolated complete intersection singularity of type S{\mu}. as a proper subgroup of the local monodromy group of a.

The geometric monodromy T of an isolated complex hypersurface singularity, which is defined by a real equation, is the composition of two involutions of the fiber F δ, δ∈ R, namely: T=(T ∘ c F) ∘ c F, where c F is the restriction of the complex conjugation.The bifurcation sets and the monodromy group of a singularity.

The intersection forms of boundary singularities and the topology of complete intersections. Oscillatory integrals. The mixed Hodge structure of an isolated critical point of a holomorphic function.