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On the existence of Weierstrass points with a certain semigroup generated by 4 elements. (English) Zbl 0546.14011
Let H be the complement in the semi-group of natural numbers of the set of gaps at a point of an algebraic curve. H is a semigroup. The author is concerned with realizing certain 4-generator semigroups in this way, and he uses a construction due to H. C. Pinkham [Ásterisque 20, 1-131 (1974; Zbl 0304.14006)] combined with curves which are of torus embedding type (pull-backs of fibres of torus embeddings). This construction realizes 3-generator semigroups and extensive classes of 4-generator semigroups.
Reviewer: G.Horrocks

MSC:
14H55 Riemann surfaces; Weierstrass points; gap sequences
14H10 Families, moduli of curves (algebraic)
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