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

Piotr Jaworski

Displaying similar documents to “On the versal discriminant of $J_{k, 0}$ singularities”

On blowing up versal discriminants

Piotr Jaworski (1998)

Banach Center Publications

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 for analytic triviality of an unfolding or deformation along the moduli. The goal of this paper is to describe the versal discriminant of $Z_{k, 0}$ and $Q_{k, 0}$ singularities basing on the fact that the deformations of these singularities may be obtained as blowing ups of certain...

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.

Superfixed positions in the geometry of Goursat flags.

Mormul, Piotr (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

Recognizing right-left equivalence locally

Takashi Nishimura (1999)

Banach Center Publications

Similarity:

Polynomials associated with dihedral groups.

Dunkl, Charles F. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

On the computation of the GCD of 2-D polynomials

Panagiotis Tzekis, Nicholas Karampetakis, Haralambos Terzidis (2007)

International Journal of Applied Mathematics and Computer Science

Similarity:

The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.

Ruscheweyh differential operator sets of basic sets of polynomials of several complex variables in hyperelliptical regions.

Hassan, G.F. (2006)

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

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.

Some orthogonal polynomials in four variables.

Dunkl, Charles F. (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

On Garcia numbers.

Brunotte, Horst (2009)

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

Similarity:

On real polynomials without nonnegative roots.

Brunotte, Horst (2009)

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

Similarity:

Displaying similar documents to “On the versal discriminant of J k , 0 singularities”

Displaying similar documents to “On the versal discriminant of $J_{k, 0}$ singularities”