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Large transcendence degree

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  09 April 2009

Robert Tubbs
Robert Tubbs
Affiliation:
University of ColoradoBoulder, Colorado 80309-0426, U.S.A.
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Abstract

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In this paper we study the transcendence degree of fields generated over Q by the numbers associated with values of one-parameter subgroups of commutative algebraic groups. We show that in many instances these fields have a large transcendence degree when measured in terms of the available data.

Our method deals with points which are “well distributed” (in a sense which is made precise) among certain algebraic subgroups of the algebraic group under consideration. We verify that these results apply in many classical situations.

MSC classification

Secondary: 11J99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 3 , December 1991 , pp. 400 - 422
Copyright
Copyright © Australian Mathematical Society 1991

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