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.
Alwaleed, K., & lshareef, W. (2016). On the distribution of Weierstrass points on Gorenstein quintic curves. Journal of the Egyptian Mathematical Society, 24(3), 329-336. doi: 10.1016/j.joems.2015.08.008
MLA
Kamel Alwaleed; Waleed K. lshareef. "On the distribution of Weierstrass points on Gorenstein quintic curves", Journal of the Egyptian Mathematical Society, 24, 3, 2016, 329-336. doi: 10.1016/j.joems.2015.08.008
HARVARD
Alwaleed, K., lshareef, W. (2016). 'On the distribution of Weierstrass points on Gorenstein quintic curves', Journal of the Egyptian Mathematical Society, 24(3), pp. 329-336. doi: 10.1016/j.joems.2015.08.008
VANCOUVER
Alwaleed, K., lshareef, W. On the distribution of Weierstrass points on Gorenstein quintic curves. Journal of the Egyptian Mathematical Society, 2016; 24(3): 329-336. doi: 10.1016/j.joems.2015.08.008