Singularities and coverings of weighted complete intersections.
Singularities and exotic spheres
Singularities Determined by Their Discriminant.
Singularities II: Automorphisms of Forms.
Singularities of hyperdeterminants
We study the singular locus of the variety of degenerate hypermatrices of an arbitrary format. Our main result is a classification of irreducible components of the singular locus. Equivalently, we classify irreducible components of the singular locus for the projectively dual variety of a product of several projective spaces taken in the Segre embedding.
Singularities of nets of quadrics
Singularities of polar curves
Singularities of Quotients by Vector Fields in Characteristic p.
Singularities of the moduli spaces of certain abelian surfaces
Singularities on complete algebraic varieties
We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.
Singularities with exact Poincaré complex but not quasihomogeneous.
We give examples of complete intersections in C3 with exact Poincaré complex but not quasihomogeneous using the classification of C.T.C. and the algorithm of Mora.
Skew-Symmetric Vanishing Lattices and Their Monodromy Groups.
Skew-Symmetric Vanishing Lattices and Their Monodromy Groups. II.
Small Deformation of Normal Singularities (Erratum).
Small Deformations of Normal Singularities.
Smooth double subvarieties on singular varieties, III
Let k be an algebraically closed field, char k = 0. Let C be an irreducible nonsingular curve such that rC = S ∩ F, r ∈ ℕ, where S and F are two surfaces and all the singularities of F are of the form , s ∈ ℕ. We prove that C can never pass through such kind of singularities of a surface, unless r = 3a, a ∈ ℕ. We study multiplicity-r structures on varieties r ∈ ℕ. Let Z be a reduced irreducible nonsingular (n-1)-dimensional variety such that rZ = X ∩ F, where X is a normal n-fold, F is a (N-1)-fold...
Smoothing of rational m-ropes
In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof, and obtain smoothability of rational m-ropes for m ≥ 3.
Smoothings of cusp singularities via triangle singularities
Smoothness and regularity
Smoothness, semi-stability and alterations