Weierstrass semigroups of a pair of points whose first nongaps are three. (English) Zbl 1026.14007

Kim, Seon Jeong; Komeda, Jiryo

Geom. Dedicata 93, 113-119 (2002).

S. J. Kim [Arch. Math. 62, 73-82 (1994; Zbl 0815.14020)] studied Weierstrass pairs of points on a smooth projective curve. In the paper under review the authors give a complete list of the Weierstrass semigroups at a pair for trigonal curves, first showing that only some semigroup may occur and then for each such semigroup \(\Gamma\) constructing a trigonal curve with a Weierstrass pair with \(\Gamma\) as associated semigroup.

Reviewer: E.Ballico (Povo)

MSC:

14H55	Riemann surfaces; Weierstrass points; gap sequences
14H51	Special divisors on curves (gonality, Brill-Noether theory)
14H10	Families, moduli of curves (algebraic)

Keywords:

Weierstrass semigroups; trigonal curves; Weierstrass pair