Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

, Volume 81, Issue 1, pp 115-127

First online:

On Weierstraß semigroups at one and two points and their corresponding Poincaré series

  • Julio José Moyano-FernándezAffiliated withInstitut für Mathematik, Universität Osnabrück Email author 

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The aim of this paper is to introduce and investigate the Poincaré series associated with the Weierstraß semigroup of one and two rational points at a (not necessarily irreducible) non-singular projective algebraic curve defined over a finite field, as well as to describe their functional equations in the case of an affine complete intersection.


Weierstrass semigroup Discrete Manis valuation Poincaré series

Mathematics Subject Classification (2000)

14H55 13D40