Some classes of homeomorphisms that preserve multiplicity and tangent cones
| Autor: | Jaime E. Sampaio |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Zariski's Problems 010102 general mathematics Tangent Mathematics::General Topology Multiplicity (mathematics) 0102 computer and information sciences 16. Peace & justice 01 natural sciences Multiplicity 010201 computation theory & mathematics 0101 mathematics Mathematics Tangent cones |
| Zdroj: | BIRD: BCAM's Institutional Repository Data instname |
| Popis: | In this paper we present some applications of A’Campo-Lˆe’s Theorem and we study some relations between Zariski’s Questions A and B. It is presented some classes of homeomorphisms that preserve multiplicity and tangent cones of complex analytic sets. Moreover, we present a class of homeomorphisms that has the multiplicity as an invariant when we consider right equivalence and this class contains many known classes of homeomorphisms that preserve tangent cones. In particular, we present some effective approaches to Zariski’s Question A. We show a version of these results looking at infinity. Additionally, we present some results related with Nash modification and Lipschitz Geometry. |
| Databáze: | OpenAIRE |
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