Babylonian Tower Theorems on the Punctured Spectrum.
Bertini theorems for weak normality
Bounds for Castelnuovo's regularity and the genus of projective varieties
Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.
The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal free resolution of the defining ideals of the projective varieties. There are some bounds on the Castelnuovo-Mumford regularity of the projective variety in terms of the other basic invariants such as dimension, codimension and degree. This paper studies a bound on the regularity conjectured by Hoa, and shows this bound and extremal examples in the case of divisors on rational normal scrolls.
Calcolo del conduttore di curve algebriche e ideali di punti
Caractères numériques et fonctions de Macaulay.
The postulation of Aritméticamente Cohen-Macaulay (ACM) subschemes of the projective space PkN is well known in the case of codimension 2. There are many different ways of recording this numerical information: numerical character of Gruson/Peskine, h-vector, postulation character of Martin-Deschamps/Perrin... The first aim of this paper is to show the equivalence of these notions. The second and most important aim, is to study the postulation of codimension 3 ACM subschemes of PN. We use a result...
Castelnuovo Bounds for Certain Subvarieties in IPn.
Castelnuovo's Regularity and Multiplicity.
Classi coniugate in
Classification of Buchsbaum subvarieties of codimension 2 in projective space.
Classification of irreducible projective surfaces of smooth sectional genus ... 3.
Closures of Conjugacy Classes of Matrices are Normal.
Codimesion two linear varieties with nilpotent structures.
Cohen-Macaulay liason.
Cohen-Macaulay modules on hypersurface singularities I.
Cohen-Macaulay mod-ules on hypersurface singularities II.
Compactified Jocobian of some unibranch curves.
Construction of families of curves from finite length graded modules.
Contractions of Gorenstein polarized varieties with high nef value.
Correction to: "An obstruction to smoothing of Gorenstein surface singularities".