On numerically effective log canonical divisors.
On Open Algebraic Surfaces IP2 ? C.
On Pencils of Curves and Deformations of Minimally Elliptic Singularities .
On permutable quadratic inversions in plane with two common singular points
On polar Cremona transformations.
On polarized canonical Calabi-Yau threefolds.
On polynomials whose fibres are irreducible with no critical points.
On Postulation of Curves in IP4.
On quadrirational Yang-Baxter maps.
On ramification locus of a polynomial mapping
Let X be a smooth algebraic hypersurface in ℂⁿ. There is a proper polynomial mapping F: ℂⁿ → ℂⁿ, such that the set of ramification values of F contains the hypersurface X.
On ramified covers of the projective plane II: Generalizing Segre’s theory
The classical Segre theory gives a necessary and sufficient condition for a plane curve to be a branch curve of a (generic) projection of a smooth surface in . We generalize this result for smooth surfaces in a projective space of any dimension in the following way: given two plane curves, and , we give a necessary and sufficient condition for to be the branch curve of a surface in and to be the image of the double curve of a -model of . In the classical Segre theory, a plane curve...
On regular threefolds with k = 0.
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.