On smooth curves passing through rational surface singularities.
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 special projections of varieties: Epitome to a theorem of Beniamino Segre.
On stable conjugacy of finite subgroups of the plane Cremona group, I
We discuss the problem of stable conjugacy of finite subgroups of Cremona groups. We compute the stable birational invariant H 1(G, Pic(X)) for cyclic groups of prime order.
On surfaces with and non-birational bicanonical maps.
On the 2 Very Ampleness of the Adjoint Bundle.
On the Adjunction Mapping.
On the adjunction theoretic classification of polarized varieties.
On the automorphisms of surfaces of general type in positive characteristic
Here we give an explicit polynomial bound (in term of and not depending on the prime ) for the order of the automorphism group of a minimal surface of general type defined over a field of characteristic .
On the birational automorphism groups of algebraic varieties
On the blowing down problem in C-analytic geometry.
On the Buchsbaum property of rees and form modules
On the curves through an general point of a smooth surface in IP3.
On the deformation of Artin-Schreier to Kummer
On the Diophantine equation ... (X, Y) = ... (x, y).
On the distribution of ramification points in trigonal curves.
On the embedding of 1-convex manifolds with 1-dimensional exceptional sets.
On the finiteness theorem for rational maps on a variety of general type.
On the formal inverse of polynomial endomorphisms
On the Fundamental Group of a Unirational 3-Fold.