Name: Schenzel, Peter
title: On Curves of small degree on a rational normal scroll
Abstracts:
In the talk we present some homological properties of integral curves on a
rational normal scroll. In particular we are interested in curves of
small degree. As one of our applications it follows that a non-rational and
non-arithmetically Cohen-Macaulay curve with `small' degree is arithmetically
Buchsbaum with invariant 1. A further approach says something about the
Hartsorne-Rao module of curves of maximal regularity. This provides some
structural results about the free resolution of its coordinate ring.