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arXiv · 0903.5103

On Weierstra{\ss} semigroups at one and two points and their corresponding Poincar\'e series

J. J. Moyano-Fernández
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Abstract

The aim of this paper is to introduce and investigate the Poincar\'e series associated with the Weierstra{\ss} 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.

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J. J. Moyano-Fernández. 2009-03-30. On Weierstra{\ss} semigroups at one and two points and their corresponding Poincar\'e series. https://doi.org/10.1007/s12188-011-0055-2

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