On the Degree of the Discriminant Locus of a Smooth Sectional Surface of a (n + 2)-fold with Nonnegative Kodaria Dimension.
On the Difference of 4-Gonal Linear Systems on some Curves
Let C = (C, g^1/4 ) be a tetragonal curve. We consider the scrollar invariants e1 , e2 , e3 of g^1/4 . We prove that if W^1/4 (C) is a non-singular variety, then every g^1/4 ∈ W^1/4 (C) has the same scrollar invariants.
On the dimension of secant varieties
In this paper we generalize Zak’s theorems on tangencies and on linear normality as well as Zak’s definition and classification of Severi varieties. In particular we find sharp lower bounds for the dimension of higher secant varieties of a given variety under suitable regularity assumptions on , and we classify varieties for which the bound is attained.
On the dimension of the adjoint linear system for threefolds
On the discriminant locus of an ample and spanned line bundle.
On the discriminant variety of a projective manifold.
On the divisibility properties of families of filtered F-crystals.
On the Euler number of an orbifold.
On the Exceptional Tangents to a Smooth, Plane Curve.
On the existence of components of the Hilbert scheme with the expected number of moduli.
On the existence of curves in with stable normal bundle
We prove that for integers n,d,g such that n ≥ 4, g ≥ 2n and d ≥ 2g + 3n + 1, the general (smooth) curve C in with degree d and genus g has a stable normal bundle .
On the existence of curves with maximal rank in Pn.
On the Failure of Variational Torelli for Regular Elliptic Surfaces with a Section.
On the finiteness of rational curves on quintic threefolds
On the finiteness of for motives associated to modular forms.
On the fixed part of certain linear systems on surfaces
On the fundamental group of the complement of a divisor in a homogeneous space.
On the generalized theta divisor.
On the generic injectivity of the Gauss map in positive characteristic.
On the Geometrie Genera of Projective Curves.