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

Authors

    • Institut für MathematikUniversität Osnabrück
Article

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
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Abstract

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.

Keywords

Weierstrass semigroupDiscrete Manis valuationPoincaré series

Mathematics Subject Classification (2000)

14H5513D40

Copyright information

© Mathematisches Seminar der Universität Hamburg and Springer 2011