On the index of the Weierstrass semigroup of a pair of points on a curve
type: Item
instance of: scholarly article
title: On the index of the Weierstrass semigroup of a pair of points on a curve
zbMATH Open document ID: 0815.14020
DOI: 10.1007/BF01200442
author: Seon Jeong Kim
published in: Archiv der Mathematik
publication date: 1995-04-18T00:00:00Z
review text: The author obtains exact formulas for the cardinality of the complement \(G(p,q)\) of the Weierstrass semigroup of a pair \((p,q)\) of points on a nonsingular complex projective curve \(C\). Using these formulas he obtains lower bounds and upper bounds on the cardinalities of such sets: \[ {g + 2 \choose 2} - 1 \leq \text{card} G(p,q) \leq {g + 2 \choose 2} - 1 - g - g^ 2. \] Moreover, considering examples, he shows that these bounds are sharp.
Mathematics Subject Classification ID: 14H55
zbMATH DE Number: 743534
zbMATH Keywords: Weierstrass semigroup
MaRDI profile type: Publication
cites work: Q3347989
cites work: Q5799167
full work available at URL: https://doi.org/10.1007/bf01200442
OpenAlex ID: W2070691606
description: scientific article; zbMATH DE number 743534