Alexandre Fernandes
- 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
- Global bi-Lipschitz classification of semi-algebraic surfaces
2022/12/13 by Alexandre Fernandes, Fernandes, Alexandre, José Edson Sampaio +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric Analysis and Curvature Flows #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, Fernandes, Alexandre, Zbigniew Jelonek +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