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Hyperelliptic addition law

Abstract

We construct an explicit form of the addition law for hyperelliptic Abelian vector functions β„˜\wp and β„˜β€²\wp'. The functions β„˜\wp and β„˜β€²\wp' 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 β„˜\wp and β„˜β€²\wp'.Comment: 18 pages, amslate

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    Last time updated on 01/04/2019