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Weierstrass semigroups on double covers of genus 4 curvesopen access
- Authors
- Kim, Seon Jeong; Komeda, Jiryo
- Issue Date
- 1-Mar-2014
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Weierstrass semigroup of a point; Double cover of a curve; Curve of genus 4
- Citation
- JOURNAL OF ALGEBRA, v.405, pp 142 - 167
- Pages
- 26
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF ALGEBRA
- Volume
- 405
- Start Page
- 142
- End Page
- 167
- ISSN
- 0021-8693
1090-266X
- Abstract
- Let C be a complete non-singular irreducible curve of genus 4 over an algebraically closed field of characteristic 0. We determine all possible Weierstrass semigroups of ramification points on double covers of C which have genus greater than 11. Moreover, we construct double covers with ramification points whose Weierstrass semigroups are the possible ones. (C) 2014 Elsevier Inc. All rights reserved.
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