On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold.
On the non-triviality of the Griffith group.
On the Normal Bundles of Rational Space Curves.
On the number of compatibly Frobenius split subvarieties, prime -ideals, and log canonical centers
Let be a projective Frobenius split variety with a fixed Frobenius splitting . In this paper we give a sharp uniform bound on the number of subvarieties of which are compatibly Frobenius split with . Similarly, we give a bound on the number of prime -ideals of an -finite -pure local ring. Finally, we also give a bound on the number of log canonical centers of a log canonical pair. This final variant extends a special case of a result of Helmke.
On the period map for abelian covers of projective varieties
On the Picard Group of Enriques Surfaces.
On the Picard number of a complex projective variety
On the pole placement problem for linear systems of arbitrary genus.
On the preservation of k-very ampleness under adjunction.
On the projective normality of complete linear series on an algebraic curve.
On the rationality of the period mapping
On the relative adjunction mapping.
On the Riemann-Roch theorem for orders in the ring of valuation vectors of a function field.
On the second sectional geometric genus of quasi-polarized manifolds.
On the Shafarevich and Tate conjectures for hyperkähler varieties.
On the spannedness of adjunction of vector bundles.
On the structure of Brieskorn lattice
We study the structure of the filtered Gauss-Manin system associated to a holomorphic function with an isolated singularity, and get a basis of the Brieskorn lattice over such that the action of is expressed byfor two matrices with semi-simple, where is the basis. As an application, we calculate the -function of in the case of two variables.
On the Structure of the Birational Abel Morphism.
On the tautological ring of Mg.
On the third adjoint contractions.