The Weierstrass semigroups on double covers of genus two curves (1311.4143v1)

Published 17 Nov 2013 in math.AG

Abstract: We show that three numerical semigroups <5,6,7,8>, <3,7,8 > and <3,5> are of double covering type, i.e., the Weierstrass semigroups of ramification points on double covers of curves. Combining this with the results of Oliveira-Pimentel and Komeda we can determine the Weierstrass semigroups of the ramification points on double covers of genus two curves.

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