Let C be the general 4 – gonal curve of genus g > 6. We investigate the complete linear series on C and the varieties Wrd(C), and we study the birational models of C in ℙr (r ≥ 2) of minimal degree.

In this paper we study a new numerical invariant ℓ of curvesC which is related to the primitive linear series onC. (Primitive series—defined below—are the essential complete and special linear series… Expand

This paper is a contribution towards a Brill-Noether theory for the moduli space of smooth &-gonal curves of genusg. Specifically, we prove the existence of certain special divisors on a… Expand

In this note we show that the few known examples of non-hyperelliptic complex algebraic curves all of whose Weierstrass points have maximal weight are the only ones.