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The Weierstrass semigroups on the quotient curve of a plane curve of degree <= 7 by an involutionopen access
- Authors
- Kim, Seon Jeong; Komeda, Jiryo
- Issue Date
- 1-Jul-2009
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Weierstrass point; Weierstrass semigroup; Smooth plane curve; Double covering of a curve
- Citation
- JOURNAL OF ALGEBRA, v.322, no.1, pp 137 - 152
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF ALGEBRA
- Volume
- 322
- Number
- 1
- Start Page
- 137
- End Page
- 152
- ISSN
- 0021-8693
1090-266X
- Abstract
- First we describe the Weierstrass semigroups on a plane curve of degree <= 6. Using this description we determine the Weierstrass semigroups at a ramification point and a branch point oil a double covering from a plane curve of degree <= 6. In the case of a double covering from a plane curve of degree 7 we determine all the Weierstrass semigroups at branch points. (C) 2009 Elsevier Inc. All rights reserved.
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