On Rao's theorems and the Lazarsfeld-Rao property
On real flag manifolds with cup-length equal to its dimension
We prove that for any positive integers there exists a real flag manifold with cup-length equal to its dimension. Additionally, we give a necessary condition that an arbitrary real flag manifold needs to satisfy in order to have cup-length equal to its dimension.
On representations of with algebras of invariants being complete intersections.
On Schubert Varieties in the Flag Manifold of SI (n, C).
On second fundamental forms of projective varieties.
On seminormal schemes
On set theoretic complete intersections in IP3.
On set theoretic complete intersections in IP3 (Erratum).
On set theoretic complete intersections in P3k.
On simple germs with non-isolated singularities.
On Singular Complex Surfaces with Negative Canonical Bundle, with Applications to Singular Compactifications of C2 and to 3-Dimensional Rational Singularities.
On singularities arising from the contraction of the minimal section a a ruled surface.
On SL(2)-actions without 3-dimensional orbits
On smooth surfaces in Gr(1, P3) with a fundamental curve.
On Some Arithmetic Properties of Odd Dimensional Complete Intersections
On some generalizations of Jacobi's residue formula
On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells.
On some numerical properties of Fano varieties
This is the text of a talk given at the XVII Convegno dellUnione Matematica Italiana held at Milano, September 8-13, 2003. I would like to thank Angelo Lopez and Ciro Ciliberto for the kind invitation to the conference. I survey some numerical conjectures and theorems concerning relations between the index, the pseudo-index and the Picard number of a Fano variety. The results I refer to are contained in the paper [3], wrote in collaboration with Bonavero, Debarre and Druel.
On some properties of partial intersection schemes.
Partial intersection subschemes of Pr of codimension c were used to furnish various graded Betti numbers which agree with a fixed Hilbert function. Here we study some further properties of such schemes; in particular, we show that they are not in general licci and we give a large class of them which are licci. Moreover, we show that all partial intersections are glicci. We also show that for partial intersections the first and the last Betti numbers, say m and p respectively, give bounds each other;...
On special projections of varieties: Epitome to a theorem of Beniamino Segre.