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

Mathematics – Algebraic Geometry

Scientific paper

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Beginning of Section 3 and Subsection 3.1 were modified

Scientific paper

10.1007/s12188-011-0055-2

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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