Zobrazeno 1 - 10
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pro vyhledávání: '"Sampaio, J. Edson"'
Autor:
Sampaio, J. Edson
In this paper we present some applications of A'Campo-L\^e'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
Externí odkaz:
http://arxiv.org/abs/1911.08346
Publikováno v:
Math. Ann. 377, 115-121 (2020)
It was conjectured that multiplicity of a singularity is bi-Lipschitz invariant. We disprove this conjecture, constructing examples of bi-Lipschitz equivalent complex algebraic singularities with different values of multiplicity.
Comment: 8 page
Comment: 8 page
Externí odkaz:
http://arxiv.org/abs/1801.06849
Autor:
Sampaio, J. Edson
We address a metric version of Zariski's multiplicity conjecture at infinity that says that two complex algebraic affine sets which are bi-Lipschitz homeomorphic at infinity must have the same degree. More specifically, we prove that the degree is a
Externí odkaz:
http://arxiv.org/abs/1709.03373
We study invariance of multiplicity of complex analytic germs and degree of complex affine sets under outer bi-Lipschitz transformations (outer bi-Lipschitz homeomorphims of germs in the first case and outer bi-Lipschitz homeomorphims at infinity in
Externí odkaz:
http://arxiv.org/abs/1706.06614
We prove that any complex analytic set in $\mathbb{C}^n$ which is Lipschitz normally embedded at infinity and has tangent cone at infinity that is a linear subspace of $\mathbb{C}^n$ must be an affine linear subspace of $\mathbb{C}^n$ itself. No rest
Externí odkaz:
http://arxiv.org/abs/1705.03085
We prove that tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. We also extend to real subanalytic sets the notion of reduced tangent cone and we show that subanalytic Lipschitz normally embedded sets have reduced tan
Externí odkaz:
http://arxiv.org/abs/1705.00038
We prove that if two germs of irreducible complex analytic curves at $0\in\mathbb{C}^2$ have different sequence of characteristic exponents, then there exists $0<\alpha<1$ such that those germs are not $\alpha$-H\"older homeomorphic. For germs of com
Externí odkaz:
http://arxiv.org/abs/1704.00755
Autor:
Sampaio, J. Edson
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 sets, namely blow-spherical equivalence and we receive several applicatio
Externí odkaz:
http://arxiv.org/abs/1702.06213
We give partial answers to a metric version of Zariski's multiplicity conjecture. In particular, we prove the multiplicity of complex analytic surface (not necessarily isolated) singularities in $\mathbb{C}^3$ is a bi-Lipschitz invariant.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1508.06250
Autor:
Sampaio, J. Edson
We prove that if there exists a bi-Lipschitz homeomorphism (not necessarily subanalytic) between two subanalytic sets, then their tangent cones are bi-Lipschitz homeomorphic. As a consequence of this result, we show that any Lipschitz regular complex
Externí odkaz:
http://arxiv.org/abs/1412.3049