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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.
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 -