The gonality of general smooth curves with a prescribed plane nodal model.
The growth of regular functions on algebraic sets
We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.
The growth rate of the number of classes of real plane algebraic curves with the growth of the degree.
The Hasse zeta function of a K3 surface related to the number of words of weight 5 in the Melas codes.
The Hilbert function of generic plane sections of curves of IP3.
The Horrocks bundles of rank three on P5.
The hyperosculating points of surfaces in
The hyperosculating spaces of hypersurfaces.
The ideal of relations for the ring of invariants of points on the line
The ring of projective invariants of ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point of this paper that, unlike its close relative the ring of invariants of unordered points, this ring can be completely and simply described. In 1894 Kempe found generators for this ring, thereby proving the First Main Theorem for it (in the terminology introduced by Weyl). In this paper we compute...
The intersection conics of six straight lines.
The Intersection of Four Quadrics in IP6, Abelian Surfaces and their Moduli.
The intersection rings of the conic varieties
The local Gromov-Witten invariants of configurations of rational curves.
The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.
The maximal rank conjecture for non-special curves in IP3.
The Maximal Rank Conjecture for Non-Special Curves in Ipn.
The minimal freee resolution of the homogeneous ideal of s general points in P4.
The Missing Seventh Circle.
The moduli scheme M (0, 2, 4) over IP3.
The Moduli Space of (3,3,3) Trilinear forms.