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تسجيل مستخدم جديدCharacterization of non-degenerate plane curve singularities
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We characterize plane curve germes non-degenerate in Kouchnirenkos sense in terms of characteristics and intersection multiplicities of branches.
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In his groundbreaking work on classification of singularities with regard to right and stable equivalence of germs, Arnold has listed normal forms for all isolated hypersurface singularities over the complex numbers with either modality less than or
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Let $f$ be an isolated singularity at the origin of $mathbb{C}^n$. One of many invariants that can be associated with $f$ is its {L}ojasiewicz exponent $mathcal{L}_0 (f)$, which measures, to some extent, the topology of $f$. We give, for generic surf
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We report on the problem of the existence of complex and real algebraic curves in the plane with prescribed singularities up to analytic and topological equivalence. The question is whether, for a given positive integer $d$ and a finite number of giv
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