Fernandes, Alexandre
- Lipschitz regular complex algebraic sets are smooth
2014/04/23 by Lev Birbrair, Alexandre Fernandes, Birbrair, Lev +5 · 4 citations
Computer Science · Mathematics · #14B05 #32S50 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Polynomial and algebraic computation
- Tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. Appendix by Anne Pichon and Walter D. Neumann
2017/04/28 by Fernandes, Alexandre, Sampaio, J. Edson · 3 citations
#14B05 #32S50 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics
- Rigidity of bi-Lipschitz equivalence of weighted homogeneous function-germs in the plane
2011/02/23 by Fernandes, Alexandre, Ruas, Maria · 1 citation
#14B05 #14J17 #Algebraic Geometry (math.AG) #FOS: Mathematics
- On characterization of smoothness of complex analytic sets
2021/10/15 by Fernandes, Alexandre, Sampaio, José Edson · 2 citations
#14B05 #32S50 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Metric Geometry (math.MG)
- Hölder equivalence of complex analytic curve singularities
2017/04/03 by Fernandes, Alexandre, Sampaio, J. Edson, Silva, Joserlan P. · 1 citation
#14B05 #32S50 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics
- On Lipschitz rigidity of complex analytic sets
2017/05/08 by Fernandes, Alexandre, Sampaio, J. Edson · 1 citation
#14B05 #32S50 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics
- On the extension of bi-Lipschitz mappings
2020/01/03 by Birbrair, Lev, Fernandes, Alexandre, Jelonek, Zbigniew · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT)
- Global bi-Lipschitz classification of semi-algebraic surfaces
2022/12/13 by Alexandre Fernandes, José Edson Sampaio, Fernandes, Alexandre +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals
- Lipschitz contact equivalence of function germs in ℝ2
2014/06/10 by Lev Birbrair, Alexandre Fernandes, Birbrair, Lev +5 · 1 citation
Computer Science · Mathematics · #03C64 #14P15 #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical Dynamics and Fractals
- Bi-Lipschitz invariance of the multiplicity
2022/12/21 by Alexandre Fernandes, Fernandes, Alexandre, José Edson Sampaio +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions #Metric Geometry (math.MG)
- Bi-Lipschitz equivalent cones with different degrees
2023/09/13 by Alexandre Fernandes, Zbigniew Jelonek, Fernandes, Alexandre +3 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Mathematics and Applications #Geometric and Algebraic Topology
- On the Fukui-Kurdyka-Paunescu Conjecture
2021/08/02 by Alexandre Fernandes, Zbigniew Jelonek, Fernandes, Alexandre +3 · 1 citation
Mathematics · #14B05 #32S50 #58K30 (Primary) 58K20 (Secondary) #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Functional Equations Stability Results #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals