On the Invariants of Base Changes of Pencils of Curves, I.
On the invariants of base changes of pencils of curves, II.
On the Jung method in positive characteristic
Let be a germ of normal surface with local ring covering a germ of regular surface with local ring of characteristic . Given an extension of valuation rings birationally dominating , we study the existence of a new such pair of local rings birationally dominating , such that is regular and has only toric singularities. This is achieved when is defectless or when is equal to
On the Link Space of a Gorenstein Quasihomogeneous Surface Singularity.
On the minimal number of singular fibres in a family of surfaces of general type.
On the Mixed Hodge Structure on the Cohomology of the Milnor Fibre.
On the moduli of reflexive sheaves on a surface with rational double points.
On the Monodromy Theorem for Isolated Hypersurface Singularities.
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 Picard Group of Enriques Surfaces.
On the Resolution of Cusp Singularities and the Shintani Decomposition in Totally Real Cubic Number Fields.
On the Singularities of Weakly Normal Varieties.
On triple curves through a rational triple point of a surface
Let k be an algebraically closed field of characteristic 0. Let C be an irreducible nonsingular curve in ℙⁿ such that 3C = S ∩ F, where S is a hypersurface and F is a surface in ℙⁿ and F has rational triple points. We classify the rational triple points through which such a curve C can pass (Theorem 1.8), and give an example (1.12). We only consider reduced and irreducible surfaces.
Orbifolds and finite group representations.