On the homology and cohomology of complete intersections with isolated singularities
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 multiplicity of a quasi-homogeneous isolated singularity.
On the Néron-Severi group of a singular variety.
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 Singularities of Weakly Normal Varieties.
On the string-theoretic Euler numbers of 3-dimensional -- singularities.
On the tacnodes of configurations of conics in the projective plane.
On the Torsion of Brieskorn Modules of Homogeneous Polynomials
On the value set of small families of polynomials over a finite field, II
We obtain an estimate on the average cardinality (d,s,a) of the value set of any family of monic polynomials in of degree d for which s consecutive coefficients are fixed. Our estimate asserts that , where . We also prove that , where ₂(d,s,a) is the average second moment of the value set cardinalities for any family of monic polynomials of of degree d with s consecutive coefficients fixed as above. Finally, we show that , where ₂(d,0) denotes the average second moment for all monic polynomials...
On the Versal Resolutions of Deformations of Rational Double Points.
On unique and almost unique factorization of complete ideals II.
Osculatory behavior and second dual varieties of Del Pezzo surfaces.