On blowing up versal discriminants

Piotr Jaworski

Displaying similar documents to “On blowing up versal discriminants”

On the versal discriminant of $J_{k, 0}$ singularities

Piotr Jaworski (1996)

Annales Polonici Mathematici

Similarity:

It is well known that the versal deformations of nonsimple singularities depend on moduli. The first step in deeper understanding of this phenomenon is to determine the versal discriminant, which roughly speaking is an obstacle to analytic triviality of an unfolding or deformation along the moduli. The versal discriminant of the Pham singularity ( $J_{3, 0}$ in Arnold’s classification) was thoroughly investigated by J. Damon and A. Galligo [2], [3], [4]. The goal of this paper is to continue their...

On the topological triviality along moduli of deformations of $J_{k, 0}$ singularities

Piotr Jaworski (2000)

Annales Polonici Mathematici

Similarity:

It is well known that versal deformations of nonsimple singularities depend on moduli. However they can be topologically trivial along some or all of them. The first step in the investigation of this phenomenon is to determine the versal discriminant (unstable locus), which roughly speaking is the obstacle to analytic triviality. The next one is to construct continuous liftable vector fields smooth far from the versal discriminant and to integrate them. In this paper we extend the results...

Decompositions of hypersurface singularities oftype $J_{k, 0}$

Piotr Jaworski (1994)

Annales Polonici Mathematici

Similarity:

Applications of singularity theory give rise to many questions concerning deformations of singularities. Unfortunately, satisfactory answers are known only for simple singularities and partially for unimodal ones. The aim of this paper is to give some insight into decompositions of multi-modal singularities with unimodal leading part. We investigate the $J_{k, 0}$ singularities which have modality k - 1 but the quasihomogeneous part of their normal form only depends on one modulus.

Recognizing right-left equivalence locally

Takashi Nishimura (1999)

Banach Center Publications

Similarity:

Singularities of the maximum function over a preimage

Aleksey Davydov (1995)

Banach Center Publications

Similarity:

Superfixed positions in the geometry of Goursat flags.

Mormul, Piotr (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

Attenuating the singularities of plurisubharmonic functions

Christer O. Kiselman (1994)

Annales Polonici Mathematici

Similarity:

We study the singularities of plurisubharmonic functions using methods from convexity theory. Analyticity theorems for a refined Lelong number are proved.

On branches at infinity of a pencil of polynomials in two complex variables

T. Krasiński (1991)

Annales Polonici Mathematici

Similarity:

Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.

Computing Gauss-Manin systems for complete intersection singularities $S_{μ}$ .

Aleksandrov, A.G., Tanabé, S. (1996)

Georgian Mathematical Journal

Similarity:

Real hypersurfaces with many simple singularities.

Eric Westenberger (2005)

Revista Matemática Complutense

Similarity:

In this paper we present constructions of real hypersurfaces with many simple singularities and deduce an asymptotical optimal existence result for hypersurfaces corresponding to T-smooth germs of the equisingular stratum. We proceed along the lines of Shustin-Westenberge (2004) where analogous results were shown for the complex case.

Removable singularities in the boundary conditions

Yuri Egorov (1992)

Banach Center Publications

Similarity:

Resultant and the Łojasiewicz exponent

J. Chądzyński, T. Krasiński (1995)

Annales Polonici Mathematici

Similarity:

An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.

On Garcia numbers.

Brunotte, Horst (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity: