On completeness of varieties in enumerative geometry
On complex projective surfaces with trigonal hyperplane sections.
On Complexifications of Differentiable Manifolds.
On connected divisors.
On contractions of extremal rays of Fano manifolds.
On contributions of embedded components to intersection theory. II.
On contributions of embedded components to intersection theory, a first approach
On curves with natural cohomology and their deficiency modules
The minimal free resolution of the Hartshorne-Rao module of a curve with natural cohomology is studied, and conditions are given on the degrees and the ranks of the terms of this resolution.
On Cycles in Flag Manifolds.
On degrees in multihomogeneous ideal theory.
On del Pezzo fibrations
On Equations Defining Arithmetically Cohen-Macaulay Schemes. I.
On extremal rays of the higher dimensional varieties.
On Fano Manifolds of large index.
On Fiber Products of Rational Elliptic Surfaces with Section.
On generalized Chern classes and Chern numbers of irreducible complex algebraic varieties with arbitrary singularities
On generation of jets for vector bundles.
We introduce and study the k-jet ampleness and the k-jet spannedness for a vector bundle, E, on a projective manifold. We obtain different characterizations of projective space in terms of such positivity properties for E. We compare the 1-jet ampleness with different notions of very ampleness in the literature.
On generically polarized Gorenstein surfaces of sectional genus two.
On geometry of binary symmetric models of phylogenetic trees
We investigate projective varieties which are binary symmetric models of trivalent phylogenetic trees. We prove that they have Gorenstein terminal singularities and are Fano varieties of index 4 and dimension equal to the number of edges of the tree in question. Moreover any two such varieties which are of the same dimension are deformation equivalent, that is, they are in the same connected component of the Hilbert scheme of the projective space. As an application we provide a simple formula for...
On glueing curves on surfaces and zero cycles
The structure of the group of a surface with prescribed singularities is investigated.