3 Birational k –very ampleness and gonality of curves

The ideas launched by the Beveridge Commission in 1942 set the pace for major reforms in post-war Britain, and inspired Norwegian welfare programmes as well, with gradual

In this section, by using classical deformation theory of plane curve singu- larities, we will find sufficient conditions for the existence of curves with A k -singularities on

The Hilbert scheme of rational, smooth and irreducible curves C of degree d on a general quintic threefold in P 4 is finite, nonempty and reduced, so each curve is embedded with

In particular, in connection with the famous conjecture of Green [5], Green and Lazarsfeld proved in [6] that the Clifford index is the same for all smooth curves in a complete

Denote by Γ the family of locally rectifiable horizontal curves whose trace lies in Ω, and such that the function u is not absolutely continuous on each curve of Γ.. It is assumed

The Hilbert scheme of rational, smooth and irreducible curves C of degree d on a general quintic threefold in P 4 is finite, nonempty and reduced, so each curve is embedded with

The two main purposes of this paper are (1) to classify all cases of exceptional curves on Del Pezzo surfaces and (2) to study the gonality and Clifford index of linearly

The curves on S in Theorem 0.1 determine a family of rational curves in Hilb k (S) of dimension 2(k − 1), which is the expected dimension of any family of rational curves on