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On the periods of Abelian functions in two variables

Published online by Cambridge University Press:  26 February 2010

D. W. Masser
D. W. Masser
Affiliation:
Department of Mathematics, The University, Nottingham
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Extract

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

MSC classification

Secondary: 32N99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 22 , Issue 2 , December 1975 , pp. 97 - 107
Copyright
Copyright © University College London 1975

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References

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