The Hilbert function of generic plane sections of curves of IP3.
The Hilbert Scheme of Buchsbaum space curves
We consider the Hilbert scheme of space curves with homogeneous ideal and Rao module . By taking suitable generizations (deformations to a more general curve) of , we simplify the minimal free resolution of by e.g making consecutive free summands (ghost-terms) disappear in a free resolution of . Using this for Buchsbaum curves of diameter one ( for only one ), we establish a one-to-one correspondence between the set of irreducible components of that contain and a set of minimal...
The Hodge Conjecture for Fourfolds Admitting a Covering by Rational Curves.
The indecomposability of H*(G/B, L)
The infinitesimal M. Noether theorem for singularities
The Infinitesimal Torelli Problem for Zero Sets of Sections of Vector Bundles.
The jacobian map, the jacobian group and the group of automorphisms of the Grassmann algebra
There are nontrivial dualities and parallels between polynomial algebras and the Grassmann algebras (e.g., the Grassmann algebras are dual of polynomial algebras as quadratic algebras). This paper is an attempt to look at the Grassmann algebras at the angle of the Jacobian conjecture for polynomial algebras (which is the question/conjecture about the Jacobian set– the set of all algebra endomorphisms of a polynomial algebra with the Jacobian – the Jacobian conjecture claims that the Jacobian...
The Kevaire Invariant of Hypersurfaces in Complex Projective Spaces.
The Koszul Algebra of a Codimension 2 Embedding.
The Lazarfeld-Rao property on an arithmetically Gorenstein variety.
The Lazarsfeld-Rao problem for Buchsbaum curves
The Local Nash problem on arc families of singularities
This paper shows the affirmative answer to the local Nash problem for a toric singularity and analytically pretoric singularity. As a corollary we obtain the affirmative answer to the local Nash problem for a quasi-ordinary singularity.
The Local Torelli Theorem. I. Complete Intersection.
The Milnor fiber and the zeta function of the singularities of type
The minimal freee resolution of the homogeneous ideal of s general points in P4.
The Modell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3.
The nil Hecke ring and singularity of Schubert varieties.
The non rationality of the generic Enriques' threefold
The normality of closures of conjugacy classes of matrices.
The normality of closures of orbits in a Lie algebra.