The Riemann constant for a non-symmetric Weierstrass semigroup

@article{Komeda2016TheRC,
  title={The Riemann constant for a non-symmetric Weierstrass semigroup},
  author={J. Komeda and S. Matsutani and E. Previato},
  journal={Archiv der Mathematik},
  year={2016},
  volume={107},
  pages={499-509}
}
AbstractThe zero divisor of the theta function of a compact Riemann surface X of genus g is the canonical theta divisor of Pic$${^{(g-1)}}$$(g-1) up to translation by the Riemann constant $${\Delta}$$Δ for a base point P of X. The complement of the Weierstrass gaps at the base point P gives a numerical semigroup, called the Weierstrass semigroup. It is classically known that the Riemann constant $${\Delta}$$Δ is a half period, namely an element of $${\frac{1}{2} \Gamma_\tau}$$12Γτ , for the… Expand
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