Ramification points of double coverings of curves and Weierstrass points |
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Authors: | E. Ballico A. Del Centina |
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Affiliation: | (1) Department of Mathematics, University of Trento, 38050 Povo (TN), Italy;(2) Department of Mathematics, Università di Ferrara, via machiavelli 35, 44100 Ferrara, Italy |
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Abstract: | Summary Let π: X→C be a double covering with X smooth curve and C elliptic curve. Let R(π)⊂X be the ramification locus of π. Every P∈R(π) is a Weierstrass point of X and we study the triples (C, π, X) for which the set of corresponding Weierstrass points have certain semigroups of non-gaps. We study the same problem also for triple cyclic coverings of C. Entrata in Redazione il 17 luglio 1998. The authors were partially supported by MURST and GNSAGA of CNR (Italy). |
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