On the distribution of Weierstrass points on Gorenstein quintic curves

Authors

Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

Abstract

This paper is concerned with developing a technique to compute in a very precise way the
distribution of Weierstrass points on the members of any 1-parameter family C a , a ∈ C , of Gorenstein
quintic curves with respect to the dualizing sheaf K C a . The nicest feature of the procedure is that
it gives a way to produce examples of existence of Weierstrass points with prescribed special gap
sequences, by looking at plane curves or, more generally, to subcanonical curves embedded in some
higher dimensional projective space.

Keywords