On Singularities of Smooth Maps to a Space with a Fixed Cone.
On the geometry of the sequence of infinitely near points.
On the homogeneous ideal of unreduced projective schemes.
On the purity of the branch locus
On vanishing inflection points of plane curves
We study the local behaviour of inflection points of families of plane curves in the projective plane. We develop normal forms and versal deformation concepts for holomorphic function germs which take into account the inflection points of the fibres of . We give a classification of such function- germs which is a projective analog of Arnold’s A,D,E classification. We compute the versal deformation with respect to inflections of Morse function-germs.
Proximité évanescente. I. La structure polaire d’un -module
Quotient de la variété des points infiniment voisins d’ordre 9 sous l’action de
Rigidity of Quotient Singularities.
Singularities of polar curves
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.
Some Criteria for Rigidity of Noetherian Rings.
Some zero-dimensional generic singularities ; finite algebras having small tangent space
Standard systems of parameters and their blowing-up rings.
The concept of (ν)-equivalence in algebraic deformation theory
The Hilbert scheme of space curves of small diameter
This paper studies space curves of degree and arithmetic genus , with homogeneous ideal and Rao module , whose main results deal with curves which satisfy (e.g. of diameter, ). For such curves we find necessary and sufficient conditions for unobstructedness, and we compute the dimension of the Hilbert scheme, , at under the sufficient conditions. In the diameter one case, the necessary and sufficient conditions coincide, and the unobstructedness of turns out to be equivalent to the...
The Monodromy of a Degenerating Family of Curves.
Théorie différentielle du contact maximal en inégale caractéristique
Two remarks on Calabi-Yau Moishezon treefolds.