It has been 40 years since Whitney’s seminal paper [W1] on the structure of real algebraic varieties. This paper supplied proofs of a number of results in the folklore, but stopped short of any treatment of local properties. Some years later, Whitney [W2], [W3] returned to study local properties, distinguishing carefully between a number of different tangent cones, and relating them to stratification properties of varieties. In so doing, however, h
In a joint work with Claudio Murolo and Andrew du Plessis we proved the smooth Whitney fibering conj...
For an n-dimensional real hyperbolic manifold M, we calculate the Zariski tangent space of a charact...
Let $X\subset\P^N$ be a smooth variety. The embedding in $\P^n$ gives naturally rise to the notion...
In this paper we will show that every semialgebraic semi-cone of codimension at least one is the tan...
In this paper we will show that every semialgebraic semicone of codimension at least one is the tang...
Let X denote a purely d-dimensional reduced complex analytic space. If it has singularities, it has ...
Let X denote a purely d-dimensional reduced complex analytic space. If it has singularities, it has ...
Let X denote a purely d-dimensional reduced complex analytic space. If it has singularities, it has ...
Abstract. We characterize C1 embedded hypersurfaces of Rn as the only lo-cally closed sets with cont...
Tangent and normal cones play an important role in constrained optimization to describe admissible s...
Abstract. In this paper we give a simple geometric proof of existence of so-called Whitney stratific...
Tangent and normal cones play an important role in constrained optimization to describe admissible s...
Cette thése porte sur l'étude de la géométrie de l'espace de spécialisation d'un germe de singularit...
In this talk we will review the definition of local polar variety of a germ of singularity $(X,x)$ a...
Providing an introduction to both classical and modern techniques in projective algebraic geometry, ...
In a joint work with Claudio Murolo and Andrew du Plessis we proved the smooth Whitney fibering conj...
For an n-dimensional real hyperbolic manifold M, we calculate the Zariski tangent space of a charact...
Let $X\subset\P^N$ be a smooth variety. The embedding in $\P^n$ gives naturally rise to the notion...
In this paper we will show that every semialgebraic semi-cone of codimension at least one is the tan...
In this paper we will show that every semialgebraic semicone of codimension at least one is the tang...
Let X denote a purely d-dimensional reduced complex analytic space. If it has singularities, it has ...
Let X denote a purely d-dimensional reduced complex analytic space. If it has singularities, it has ...
Let X denote a purely d-dimensional reduced complex analytic space. If it has singularities, it has ...
Abstract. We characterize C1 embedded hypersurfaces of Rn as the only lo-cally closed sets with cont...
Tangent and normal cones play an important role in constrained optimization to describe admissible s...
Abstract. In this paper we give a simple geometric proof of existence of so-called Whitney stratific...
Tangent and normal cones play an important role in constrained optimization to describe admissible s...
Cette thése porte sur l'étude de la géométrie de l'espace de spécialisation d'un germe de singularit...
In this talk we will review the definition of local polar variety of a germ of singularity $(X,x)$ a...
Providing an introduction to both classical and modern techniques in projective algebraic geometry, ...
In a joint work with Claudio Murolo and Andrew du Plessis we proved the smooth Whitney fibering conj...
For an n-dimensional real hyperbolic manifold M, we calculate the Zariski tangent space of a charact...
Let $X\subset\P^N$ be a smooth variety. The embedding in $\P^n$ gives naturally rise to the notion...