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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)

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