Numerical semigroups of genus eight and double coverings of curves of genus three

作者：Harui Takeshi^*; Komeda Jiryo

来源：Semigroup Forum, 2014, 89(3): 571-581.

DOI：10.1007/s00233-014-9590-3

• Weierstrass semigroups
• Numerical semigroups
• Double coverings
• Plane quartics

The authors determine all possible numerical semigroups at ramification points of double coverings of curves when the covered curve is of genus three and the covering curve is of genus eight. Moreover, it is shown that all of such numerical semigroups are actually of double covering type.

• 出版日期2014-12