Results 291 to 300 of about 36,311 (322)
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Equisingular Deformations of Normal Surface Singularities, I
The Annals of Mathematics, 1976The author tackles the problem of defining equisingular infinitesimal deformations of normal singular points of algebraic surfaces \(S\). The technique is to study deformations of a resolution \(f: X\to S\) of the singularity \(x \in S\) which preserve the essential numerical (topological) data of the exceptional curve \(E=f^{-1}(x)\), and which blow ...
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2000
In the final chapter of this book, we study deformations of germs of complex spaces. The ultimate goal is to prove the existence of a semi-universal deformation of (X, o), in case it has an isolated singularity. As the proof of this theorem is quite involved, we will first treat some special cases.
Theo de Jong, Gerhard Pfister
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In the final chapter of this book, we study deformations of germs of complex spaces. The ultimate goal is to prove the existence of a semi-universal deformation of (X, o), in case it has an isolated singularity. As the proof of this theorem is quite involved, we will first treat some special cases.
Theo de Jong, Gerhard Pfister
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Singular Value Analysis of Deformable Systems
Circuits, Systems, and Signal Processing, 1981Singular value analysis, balancing, and approximation of a class of deformable systems are investigated. The deformable systems considered herein include several important cases of flexible aerospace vehicles and are characterized by countably infinitely many poles and zeros on the imaginary axis.
Jonckheere, Edmond A. +1 more
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Deformations of Sections of Singularities and Gorenstein Surface Singularities
American Journal of Mathematics, 1987Let (V,0) be a germ of an (analytic) singularity in \((k^ t,0)\) and \(f_ 0: (k^ s,0)\to (k^ t,0)\) an (analytic) germ function. The author studies properties of \((f^{-1}(V),0)\), which will be noted by \((X_ 0,0)\), from the Thom-Mather point of view via the action of a certain subgroup \(K_ V\) of the contact group on the space of sections \(f_ 0\).
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2014
A singularity of dimension higher than 2 is called a higher-dimensional singularity. In this section we mostly discuss higher-dimensional singularities. Unless otherwise stated, singularities are always of dimension n ≥ 2. Varieties are all integral algebraic varieties over \(\mathbb{C}\) and the singularities considered are on such varieties.
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A singularity of dimension higher than 2 is called a higher-dimensional singularity. In this section we mostly discuss higher-dimensional singularities. Unless otherwise stated, singularities are always of dimension n ≥ 2. Varieties are all integral algebraic varieties over \(\mathbb{C}\) and the singularities considered are on such varieties.
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Equimultiple deformations of isolated singularities
Israel Journal of Mathematics, 2001The paper is devoted to the deformation theory of isolated hypersurface singularities over the complexes or reals. A deformation of a germ \(f\) is versal if it contains all possible singularities close to \(f\), modulo an equivalence relation on singularities. The authors study versal deformations with respect to different equivalences. In particular,
Scherback, I., Shustin, E.
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Exceptional Deformations of Quadrilateral Singularities and Singular K3 Surfaces
Bulletin of the London Mathematical Society, 1987It was shown by Pham in 1970 (unpublished) that the singularity \(y^3+ayx^6+x^9=0\) deforms to \(E_6+E_8\) only if the parameter \(a\) vanishes. By Looijenga's general theory [\textit{E. Looijenga}, Math. Ann. 269, 357--387 (1984; Zbl 0568.14003)] such a deformation corresponds to a \(K3\) surface containing a certain configuration of curves.
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Free deformations of hypersurface singularities
Journal of Mathematical Sciences, 2011The article is devoted to the study of the classification problem for Saito free divisors making use of the deformation theory of varieties. In particular, in the quasihomogeneous case, we describe an approach for computation of free deformations of quasicones over quasismooth varieties based on properties of deformations of varieties with \( {\mathbb ...
A. G. Aleksandrov, J. Sekiguchi
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ISOMONODROMY DEFORMATIONS OF EQUATIONS WITH IRREGULAR SINGULARITIES
Mathematics of the USSR-Sbornik, 1992See the review Zbl 0717.34011.
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Deformations of Surface Singularities
2013Altmann, K. and Kastner, L.: Negative Deformations of Toric Singularities that are Smooth in Codimension Two.- Bhupal, M. and Stipsicz, A.I.: Smoothing of Singularities and Symplectic Topology.- Ilten, N.O.: Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans.- Nemethi, A: Some Meeting Points of Singularity Theory and Low ...
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