The Genus of Curves in P4 and P5.
The Genus of Curves in P4 verifying certain Flag conditions.
The genus of curves over finite fields with many rational points.
The Genus of Maximal Function Fields over Finite Fields.
The Genus of Space Curves.
The geometry of the period mapping on cyclic covers of P1
The gonality of general smooth curves with a prescribed plane nodal model.
The gonality of smooth curves with plane Models.
The group law on the jacobian of a curve of genus 2.
The Group of Automorphisms of the Modular Function Field.
The growth rate of the number of classes of real plane algebraic curves with the growth of the degree.
The Hasse-Witt invariant of cyclotomic function fields
The Hilbert Function of curves on certain smooth quartic surfaces.
The Hilbert function of generic plane sections of curves of IP3.
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 Hyperelliptic Locus with Special Reference to Characteristic Two.
The hyperosculating points of surfaces in
The hyperosculating spaces of hypersurfaces.