ALGEBRAIC RELATIONS AMONG PERIODS AND LOGARITHMS OF RANK 2 DRINFELD MODULES

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51185

Title:	ALGEBRAIC RELATIONS AMONG PERIODS AND LOGARITHMS OF RANK 2 DRINFELD MODULES
Authors:	Chang,CY;Papanikolas,MA
Contributors:	數學系
Keywords:	LINEAR INDEPENDENCE;GAMMA-VALUES;TRANSCENDENCE;MOTIVES
Date:	2011
Issue Date:	2012-03-27 18:24:21 (UTC+8)
Publisher:	國立中央大學
Abstract:	For any rank 2 Drinfeld module rho defined over an algebraic function field, we consider its period matrix P(rho), which is analogous to the period matrix of an elliptic curve defined over a number field. Suppose that the characteristic of the finite field F(q) is odd and that rho does not have complex multiplication. We show that the transcendence degree of the field generated by the entries of P(rho) over F(q)(theta) is 4. As a consequence, we show also the algebraic independence of Drinfeld logarithms of algebraic functions which are linearly independent over F(q)(theta).
Relation:	AMERICAN JOURNAL OF MATHEMATICS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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