# Five-gonal curves of genus nine.

Collectanea Mathematica (2005)

• Volume: 56, Issue: 1, page 21-26
• ISSN: 0010-0757

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## Abstract

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Let C be a smooth 5-gonal curve of genus 9. Assume all linear systems g15 on C are of type I (i.e. they can be counted with multiplicity 1) and let m be the numer of linear systems g15 on C. The only possibilities are m=1; m=2; m=3 and m=6. Each of those possibilities occur.

## How to cite

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Coppens, Marc. "Five-gonal curves of genus nine.." Collectanea Mathematica 56.1 (2005): 21-26. <http://eudml.org/doc/41818>.

@article{Coppens2005,
abstract = {Let C be a smooth 5-gonal curve of genus 9. Assume all linear systems g15 on C are of type I (i.e. they can be counted with multiplicity 1) and let m be the numer of linear systems g15 on C. The only possibilities are m=1; m=2; m=3 and m=6. Each of those possibilities occur.},
author = {Coppens, Marc},
journal = {Collectanea Mathematica},
keywords = {Curvas algebraicas; Sistemas lineales},
language = {eng},
number = {1},
pages = {21-26},
title = {Five-gonal curves of genus nine.},
url = {http://eudml.org/doc/41818},
volume = {56},
year = {2005},
}

TY - JOUR
AU - Coppens, Marc
TI - Five-gonal curves of genus nine.
JO - Collectanea Mathematica
PY - 2005
VL - 56
IS - 1
SP - 21
EP - 26
AB - Let C be a smooth 5-gonal curve of genus 9. Assume all linear systems g15 on C are of type I (i.e. they can be counted with multiplicity 1) and let m be the numer of linear systems g15 on C. The only possibilities are m=1; m=2; m=3 and m=6. Each of those possibilities occur.
LA - eng
KW - Curvas algebraicas; Sistemas lineales
UR - http://eudml.org/doc/41818
ER -

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