Hyperelliptic addition law

Abstract

We construct an explicit form of the addition law for hyperelliptic Abelian vector functions $\wp$ and ${\wp }^{\prime }$. The functions $\wp$ and ${\wp }^{\prime }$ form a basis in the field of hyperelliptic Abelian functions, i.e., any function from the field can be expressed as a rational function of $\wp$ and ${\wp }^{\prime }$.

18 pages, amslatex

Cited by in corpus (1)

• Abelian function fields on Jacobian varieties