Separating sets, metric tangent cone and applications for complex algebraic germs (2009)
Birbrair, Lev, Fernandes, Alexandre, Neumann, Walter D
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. The relationship...
On normal embedding of complex algebraic surfaces (2008)
Birbrair, Lev, Fernandes, Alexandre, Neumann, Walter D
We construct examples of complex algebraic surfaces not admitting normal embeddings (in the sense of semialgebraic or subanalytic sets) with image a complex algebraic surface.
Fernandes, Alexandre, Iñiguez, Alena M, Lima, Valdirene S, Ferreira, Luiz Fernando, Vicente, Ana Carolina P, ...
We evaluated the presence and distribution of Trypanosoma cruzi DNA in a mummy presenting with megacolon that was dated as approximately 560 ± 40 years old. The mummy was from the Peruaçu Valley...
mu-constancy does not imply constant bi-Lipschitz type (2008)
Birbrair, Lev, Fernandes, Alexandre, Neumann, Walter
We show that a family of isolated complex hypersurface singularities with constant Milnor number may fail, in the strongest sense, to have constant bi-Lipschitz type. Our example is the Briac...
Bi-Lipschitz geometry of complex surface singularities (2008)
Birbrair, Lev, Fernandes, Alexandre, Neumann, Walter D.
We discuss the bi-Lipschitz geometry of an isolated singular point of a complex surface which particular emphasis on when it is metrically conical.
Local Lipschitz geometry of weighted homogeneous surfaces (2007)
Birbrair, Lev, Fernandes, Alexandre
We compute Hoelder Complexes,i.e. the complete bi-Lipschitz invariants, for germs of real weighed homogeneous algebraic or semialgebraic surfaces.
Inner Metric Geometry of Complex Algebraic Surfaces with Isolated Singularities (2007)
Birbrair, Lev, Fernandes, Alexandre
We produce examples of complex algebraic surfaces with isolated singularities such that these singularities are not metrically conic, i.e. the germs of the surfaces near singular points are not...
Bi-Lipschitz geometry of weighted homogeneous surface singularities (2007)
Birbrair, Lev, Fernandes, Alexandre, Neumann, Walter D.
We show that a weighted homogeneous complex surface singularity is metrically conical (i.e., bi-Lipschitz equivalent to a metric cone) only if its two lowest weights are equal. We also give an...
Fernandes,Alexandre, Ferreira,Luiz Fernando, Gonçalves,Marcelo Luiz Carvalho, Bouchet,Françoise, Klein,Carlos Henrique, Iguchi,Takumi, ...
Parasite eggs found in organic remains collected from medieval structures in Raversijde (medieval name: Walraversijde), a village on the northern coast of Belgium, are discussed. The eggs were...