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On the periods of Abelian functions in two variables
Published online by Cambridge University Press: 26 February 2010
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Let Λ be a lattice in Cn such that the field of Abelian functions on the quotient space Cn/Λ is of transcendence degree n. This implies that is an algebraic extension of a field o of pure transcendence degree n. Thus there exists a vector A = (A1 …, An) of algebraically independent functions of the variable z = (z1, …, zn) and a function B = B(z), algebraic over
such that
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- Copyright © University College London 1975
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