Open AccessOn the distribution of Weierstrass points on Gorenstein quintic curves
Author(s) -
Alwaleed Kamel,
Waleed Khaled Elshareef
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2015.08.008
Subject(s) - mathematics , sheaf , quintic function , distribution (mathematics) , pure mathematics , family of curves , mathematical analysis , plane (geometry) , geometry , physics , quantum mechanics , nonlinear system
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 Ca, a∈C, of Gorenstein quintic curves with respect to the dualizing sheaf KCa. 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