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Statements
ζ
=
∑
j
=
1
g
ω
j
∂
∂
z
j
θ
[
𝜶
𝜷
]
(
𝐳
|
𝛀
)
|
𝐳
=
𝟎
.
𝜁
evaluated-at
superscript
subscript
𝑗
1
𝑔
subscript
𝜔
𝑗
partial-derivative
subscript
𝑧
𝑗
Riemann-theta-characterstics
𝜶
𝜷
𝐳
𝛀
𝐳
0
{\displaystyle{\displaystyle\zeta=\sum_{j=1}^{g}\omega_{j}\frac{\partial}{%
\partial z_{j}}\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}}}{%
\boldsymbol{{\beta}}}\left(\mathbf{z}\middle|\boldsymbol{{\Omega}}\right)\Big{%
|}_{\mathbf{z}=\boldsymbol{{0}}}.}}
θ
[
𝜶
𝜷
]
(
|
missing
)
Riemann-theta-characterstics
𝜶
𝜷
missing
{\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\NVar{\boldsymbol{{%
\alpha}}}}{\NVar{\boldsymbol{{\beta}}}}\left(\middle|missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
g
𝑔
{\displaystyle{\displaystyle g}}
𝛀
𝛀
{\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}
𝜶
𝜶
{\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}
𝜷
𝜷
{\displaystyle{\displaystyle\boldsymbol{{\beta}}}}
ω
𝜔
{\displaystyle{\displaystyle\omega}}
