On Milnor's fibration theorem and its offspring after 50 years
J Seade - Bulletin of the American Mathematical Society, 2019 - ams.org
Milnor's fibration theorem is about the geometry and topology of real and complex analytic
maps near their critical points, a ubiquitous theme in mathematics. As such, after 50 years …
maps near their critical points, a ubiquitous theme in mathematics. As such, after 50 years …
The thick-thin decomposition and the bilipschitz classification of normal surface singularities
We describe a natural decomposition of a normal complex surface singularity (X, 0) into its
“thick” and “thin” parts. The former is essentially metrically conical, while the latter shrinks …
“thick” and “thin” parts. The former is essentially metrically conical, while the latter shrinks …
Lipschitz normal embeddings in the space of matrices
D Kerner, HM Pedersen, MAS Ruas - Mathematische Zeitschrift, 2018 - Springer
A semi-algebraic subset in R^ n R n or C^ n C n is naturally equipped with two different
metrics, the inner metric and the outer metric. Such a set (or its germ) is called Lipschitz …
metrics, the inner metric and the outer metric. Such a set (or its germ) is called Lipschitz …
On the link of Lipschitz normally embedded sets
R Mendes, JE Sampaio - International Mathematics Research …, 2024 - academic.oup.com
A path-connected subanalytic subset in is naturally equipped with two metrics: the inner and
the outer metrics. We say that a subset is Lipschitz normally embedded (LNE) if these two …
the outer metrics. We say that a subset is Lipschitz normally embedded (LNE) if these two …
Lipschitz normally embedded set and tangent cones at infinity
LRG Dias, NR Ribeiro - The Journal of Geometric Analysis, 2022 - Springer
Lipschitz Normally Embedded Set and Tangent Cones at Infinity | The Journal of Geometric
Analysis Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …
Analysis Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …
Multiplicity, regularity and blow-spherical equivalence of complex analytic sets
JE Sampaio - arXiv preprint arXiv:1702.06213, 2017 - arxiv.org
This paper is devoted to study multiplicity and regularity as well as to present some
classifications of complex analytic sets. We present an equivalence for complex analytical …
classifications of complex analytic sets. We present an equivalence for complex analytical …
Fast vanishing cycles on perturbations of (complex) weighted-homogeneous germs
D Kerner, R Mendes - arXiv preprint arXiv:2311.13423, 2023 - arxiv.org
Let X_o be a complex weighted-homogeneous complete intersection germ,(possibly non-
reduced). Let X be a perturbation of X_o by``higher-order-terms". We give sufficient criteria …
reduced). Let X be a perturbation of X_o by``higher-order-terms". We give sufficient criteria …
Thick-thin decomposition for real definable isolated singularities
L Birbrair, A Fernandes, V Grandjean - Indiana University Mathematics …, 2017 - JSTOR
Two subset germs of Euclidean spaces are called blow-spherically equivalent if their
spherical modifications are homeomorphic and the homeomorphism induces …
spherical modifications are homeomorphic and the homeomorphism induces …
[PDF][PDF] Bi-Lipschitz geometry of complex surface singularities
arXiv:0804.0194v1 [math.AG] 1 Apr 2008 Page 1 arXiv:0804.0194v1 [math.AG] 1 Apr 2008
BI-LIPSCHITZ GEOMETRY OF COMPLEX SURFACE SINGULARITIES LEV BIRBRAIR …
BI-LIPSCHITZ GEOMETRY OF COMPLEX SURFACE SINGULARITIES LEV BIRBRAIR …
Separating sets, metric tangent cone and applications for complex algebraic germs
An explanation is given for the initially surprising ubiquity of separating sets in normal
complex surface germs. It is shown that they are quite common in higher dimensions too …
complex surface germs. It is shown that they are quite common in higher dimensions too …