The gonality of general smooth curves with a prescribed plane nodal model.
The gonality of smooth curves with plane Models.
The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties
The Grothendieck-Riemann-Roch theorem for group scheme actions
The hard Lefschetz theorem and the topology of semismall maps
The Hilbert Function of curves on certain smooth quartic surfaces.
The Hilbert Modular Surface of a Real Quadratic Field.
The Hilbert Scheme of Buchsbaum space curves
We consider the Hilbert scheme of space curves with homogeneous ideal and Rao module . By taking suitable generizations (deformations to a more general curve) of , we simplify the minimal free resolution of by e.g making consecutive free summands (ghost-terms) disappear in a free resolution of . Using this for Buchsbaum curves of diameter one ( for only one ), we establish a one-to-one correspondence between the set of irreducible components of that contain and a set of minimal...
The Hilbert scheme of space curves of small diameter
This paper studies space curves of degree and arithmetic genus , with homogeneous ideal and Rao module , whose main results deal with curves which satisfy (e.g. of diameter, ). For such curves we find necessary and sufficient conditions for unobstructedness, and we compute the dimension of the Hilbert scheme, , at under the sufficient conditions. In the diameter one case, the necessary and sufficient conditions coincide, and the unobstructedness of turns out to be equivalent to the...
The Hilbert schemes of degree three curves
The Hilbert-Chow morphism and the incidence divisor.
The Hodge Conjecture for a Certain Class of Fourfolds.
The hodge conjecture for cubic fourfolds
The Hodge Conjecture for Fermat Varieties.
The Hodge Conjecture for Fourfolds Admitting a Covering by Rational Curves.
The Hodge Structure of the Intersection of Three Quadrics in an Odd Dimensional Pojective Space.
The Hodge theory of algebraic maps
The infinitesimal and generalized Hodge Conjecture for some families of sextic threefolds.
The Infinitesimal Torelli Problem for Zero Sets of Sections of Vector Bundles.
The intersection rings of the conic varieties