On the geometry of the sequence of infinitely near points.
On the homogeneous ideal of unreduced projective schemes.
On the homogeneous pieces of graded generalized local cohomology modules
We study, in certain cases, the notions of finiteness and stability of the set of associated primes and vanishing of the homogeneous pieces of graded generalized local cohomology modules.
On the homology and cohomology of complete intersections with isolated singularities
On the Jacobian criterion of formal smoothness.
We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.
On the Link Space of a Gorenstein Quasihomogeneous Surface Singularity.
On the Łojasiewicz exponent of the gradient of a polynomial function
Let be a polynomial with complex coefficients. The Łojasiewicz exponent of the gradient of h at infinity is the least upper bound of the set of all real λ such that in a neighbourhood of infinity in ℂ², for c > 0. We estimate this quantity in terms of the Newton diagram of h. Equality is obtained in the nondegenerate case.
On the Milnor fibrations of weighted homogeneous polynomials
On the Mixed Hodge Structure on the Cohomology of the Milnor Fibre.
On the Module of Zariski Differentials and Infinitesimal Deformations of Cusp Singularities.
On the monodromy of curve singularities.
On the Monodromy Theorem for Isolated Hypersurface Singularities.
On the motivic measure on the space of functions.
On the multiplicity of a quasi-homogeneous isolated singularity.
On the Néron-Severi group of a singular variety.
On the non-vanishing of cotangent cohomology.
On the number of compatibly Frobenius split subvarieties, prime -ideals, and log canonical centers
Let be a projective Frobenius split variety with a fixed Frobenius splitting . In this paper we give a sharp uniform bound on the number of subvarieties of which are compatibly Frobenius split with . Similarly, we give a bound on the number of prime -ideals of an -finite -pure local ring. Finally, we also give a bound on the number of log canonical centers of a log canonical pair. This final variant extends a special case of a result of Helmke.
On the number of singular ponts of a real projective hypersurface.
On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds.
On the purity of the branch locus