Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

, Volume 81, Issue 1, pp 115–127

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


DOI: 10.1007/s12188-011-0055-2

Cite this article as:
Moyano-Fernández, J.J. Abh. Math. Semin. Univ. Hambg. (2011) 81: 115. doi:10.1007/s12188-011-0055-2


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 semigroupDiscrete Manis valuationPoincaré series

Mathematics Subject Classification (2000)


Copyright information

© Mathematisches Seminar der Universität Hamburg and Springer 2011

Authors and Affiliations

  1. 1.Institut für MathematikUniversität OsnabrückOsnabrückGermany