Paper Info
Title
The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve
Abstract
We examine the structure of the Weierstrass semigroup of an m-tuple of points on a smooth, projective, absolutely irreducible curve X over a finite field F. A criteria is given for determining a minimal subset of semigroup elements which generate such a semigroup where 2 less than or equal to m less than or equal to \ F \. For all 2 less than or equal to m less than or equal to q + 1, we determine the Weierstrass semigroup of any m-tuple of collinear IF(q)2-rational points on a Hermitian curve y(q) + y = x(q+l).
Year
DOI
Venue
2003
10.1007/978-3-540-24633-6_2
CONTEMPORARY MATHEMATICS SERIES
Keywords
Field
DocType
rational point
Discrete mathematics,Absolutely irreducible,Finite field,Tuple,Semigroup,Hermite interpolation,Hermitian matrix,Mathematics
Conference
Volume
ISSN
Citations 
2948
0302-9743
6
PageRank 
References 
Authors
0.90
2
1
Name
Order
Citations
PageRank
Gretchen L. Matthews18113.47