Representation of cyclic groups in positive characteristic and Weierstrass semigroups

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• 作者：Sotiris Karanikolopoulos ; Aristides Kontogeorgis
• 关键词：14H37
• 刊名：Journal of Number Theory
• 出版年：2013
• 出版时间：January, 2013
• 年：2013
• 卷：133
• 期：1
• 页码：158-175
• 全文大小：244 K

文摘

We study the -module structure of the space of holomorphic differentials of a curve defined over an algebraically closed field of positive characteristic, for a cyclic group G of order . We also study the relation to the Weierstrass semigroup for the case of Galois Weierstrass points.