Vanishing sums in function fields-Reference-Cited by-同舟云学术

Vanishing sums in function fields

Published:1986-11 Issue:3 Volume:100 Page:427-434
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Brownawell W. D.,Masser D. W.

Abstract

Let k be a field of zero characteristic, and let F be a function field over k of genus g. We normalize each valuation v on F so that its order group consists of all rational integers, and for elements u1, …, un of F, not all zero, we define the (projective) height as

The sum formula on F shows that this is really a height on the projective space .

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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