Some classes of homeomorphisms that preserve multiplicity and tangent cones

In this paper 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 o...

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Bibliographic Details
Author: Sampaio, J.E.
Format: doctoral thesis
Status:Versión aceptada para publicación
Publication Date:2018
Country:España
Institution:Basque Center for Applied Mathematics (BCAM)
Repository:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/845
Online Access:http://hdl.handle.net/20.500.11824/845
Access Level:Open access
Keyword:Multiplicity
Tangent cones
Zariski's Problems
Description
Summary:In this paper 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. Finally, we show versions of these results looking at infinity.