# zbMATH — the first resource for mathematics

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