On the Normal Bundle of Curves on Complete Intersection Surfaces.
On the normal bundle of curves on smooth projective surfaces.
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 number of non-equivalent differentiable structures on 4-Manifolds.
On the number of singular ponts of a real projective hypersurface.
On the order three Brauer classes for cubic surfaces
We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over ℚ such that Br(S)/Br(ℚ) is a 3-group. Our approach is to associate a Brauer class with every ordered triplet of Galois invariant pairs of Steiner trihedra. We show that all order three Brauer classes may be obtained in this way. To show the effect of the obstruction, we give explicit examples.
On the Periods of Enriques Surfaces. I.
On the Periods of Enriques Surfaces. II.
On the Picard Group of Enriques Surfaces.
On the Picard number of a complex projective variety
On the Picard number of divisors in Fano manifolds
Let be a complex Fano manifold of arbitrary dimension, and a prime divisor in . We consider the image of in under the natural push-forward of -cycles. We show that . Moreover if , then either where is a Del Pezzo surface, or and has a fibration in Del Pezzo surfaces onto a Fano manifold such that .
On the Picard-Fuchs Equation and the Formal Brauer Group of Certain Elliptic K3-Surfaces.
On the Pluricanonical Systems of Algebraic Manifolds.
On the Plurigenera of Minimal Algebraic 3-Folds with K ... 0.
On the preservation of k-very ampleness under adjunction.
On the principal bundles over a flag manifold.
On the rationality of the period mapping
On the reducibility of moduli spaces of stable 2-bundles over an elliptic surface.
On the Resolution of Cusp Singularities and the Shintani Decomposition in Totally Real Cubic Number Fields.
On the second exterior power of tangent bundles of threefolds