On desingularized Horrocks-Mumford quintics.
On elementary transformations of ruled surfaces.
On equimultiple subschemes of a local scheme over a field of characteristic zero
On Equisingular Deformations of Cone-Like Surface Singularities.
On Eriques Surface as a Fourfold Cover of P2*
On extensions of number fields obtained by specializing branched coverings.
On extremal rays of the higher dimensional varieties.
On Families of Birationally Equivalent Varieties.
On Fiber Products of Rational Elliptic Surfaces with Section.
On galois automorphisms of the fundamental group of the projective line minus three points.
On Galois covers of Hirzebruch surfaces.
On Galois module structure of the cohomology groups of an algebraic variety.
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 higher-order weierstrass points and the finiteness of the automorphism group.
On Hironaka's Additive Groups Associated with Points in Projective Space.
On hypersurface quotient singularities of dimension 4.
On Isolated Gorenstein Singularities.
On K-spanned embeddings of projectiv manifolds.
On log canonical divisors that are log quasi-numerically positive
Let (X Δ) be a four-dimensional log variety that is projective over the field of complex numbers. Assume that (X, Δ) is not Kawamata log terminal (klt) but divisorial log terminal (dlt). First we introduce the notion of “log quasi-numerically positive”, by relaxing that of “numerically positive”. Next we prove that, if the log canonical divisorK X+Δ is log quasi-numerically positive on (X, Δ) then it is semi-ample.
On minimal models of elliptic threefolds.