Local topological algebraicity with algebraic coefficients of analytic sets or functions

Rond, Guillaume

doi:10.2140/ant.2018.12.1215

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2021

Publication Types

Select...

Other1

Book1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A result analogous to Theorem 3.2 in the local case, for singularities of analytic spaces or analytic functions was proven by G. Rond in [60].…”

Section: 2mentioning

confidence: 72%

Algebro-geometric equisingularity of Zariski

Parusiński¹

2020

Preprint

View full text Add to dashboard Cite

This is a survey on Zariski equisingularity. We recall its definition, main properties, and a variety of applications in Algebraic Geometry and Singularity Theory. In the first part of this survey, we consider Zariski equisingular families of complex analytic or algebraic hypersurfaces. We also discuss how to construct Zariski equisingular deformations. In the second part, we present Zariski equisingularity of hypersurfaces along a nonsingular subvariety and its relation to other equisingularity conditions. We also discuss the canonical stratification of such hypersurfaces given by the dimensionality type.

show abstract

“…A result analogous to Theorem 3.2 in the local case, for singularities of analytic spaces or analytic functions was proven by G. Rond in [60].…”

Section: 2mentioning

confidence: 72%