The Weierstrass semigroups on the quotient curve of a plane curve of degree <= 7 by an involution

초록

First we describe the Weierstrass semigroups on a plane curve of degree <= 6. Using this description we determine the Weierstrass semigroups at a ramification point and a branch point oil a double covering from a plane curve of degree <= 6. In the case of a double covering from a plane curve of degree 7 we determine all the Weierstrass semigroups at branch points. (C) 2009 Elsevier Inc. All rights reserved.

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