On the homogeneous ideal of unreduced projective schemes.
On the homology and cohomology of complete intersections with isolated singularities
On the inseparable degrees of the Gauss map and the projection of the conormal variety to the dual fo higher order for space curves.
On the Jacobian ideal of the binary discriminant.
Let Δ denote the discriminant of the generic binary d-ic. We show that for d ≥ 3, the Jacobian ideal of Δ is perfect of height 2. Moreover we describe its SL2-equivariant minimal resolution and the associated differential equations satisfied by Δ. A similar result is proved for the resultant of two forms of orders d, e whenever d ≥ e-1. If Φn denotes the locus of binary forms with total root multiplicity ≥ d-n, then we show that the ideal of Φn is also perfect, and we construct a covariant which...
On the -theory and Hattori-Stallings traces of minimal primitive factors of enveloping algebras of semisimple Lie algebras : the singular case
Let be a semisimple complex algebraic group and its flag variety. Let and let be its enveloping algebra. Let be a Cartan subalgebra of . For , let be the corresponding minimal primitive ideal, let , and let be the Hattori-Stallings trace. Results of Hodges suggest to study this map as a step towards a classification, up to isomorphism or Morita equivalence, of the -algebras . When is regular, Hodges has shown that . In this case is generated by the classes corresponding to...
On the Link Space of a Gorenstein Quasihomogeneous Surface Singularity.
On the local differential geometry of complete intersections
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 Minimal Models of Complex Manifolds.
On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups.
On the motive of a quotient variety.
We show that the motive of the quotient of a scheme by a finite group coincides with the invariant submotive.
On the Noether-Lefschetz Theorem and Some Remarks on Codimension-two Cycles.
On the nonexistence of certain morphisms from Grassmannian to Grassmannian in characteristic 0.
On the Normal Bundle of Curves on Complete Intersection Surfaces.
On the normal bundle of curves on smooth projective surfaces.
On the Normal Bundles of Smooth Rational Spaces Curves.
On the Number of Equations Defining Certain Varieties.
On the Number of Faces of Simplicial Complexes and the Purity of Frobenius.
On the Periods of Enriques Surfaces. II.
On the preservation of k-very ampleness under adjunction.