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.
On the geometry of algebraic curves having many real components.
We show that there is a large class of nonspecial effective divisors of relatively small degree on real algebraic curves having many real components i.e. on M-curves. We apply to 1. complete linear systems on M-curves containing divisors with entirely real support, and 2. morphisms of M-curves into P1.
On the Griffiths group of the cubic sevenfold.
On the group .
On the Growth of Cohomology Classes on Smooth Affine Varieties.
On the hard Lefschetz theorem in intersection homology for complex varieties with isolated singularities.
On the Hilbert Scheme of Curves in Higher-dimensional Projective Space.
On the Hilbert Scheme of Curves of Maximal Genus in a Projective Space.