Articles with "transcendence degree" as a keyword



Transcendence degree one function fields over a finite field with many automorphisms

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Published in 2017 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2017.08.008

Abstract: Abstract Let K be the algebraic closure of a finite field F q of odd characteristic p . For a positive integer m prime to p , let F = K ( x , y… read more here.

Keywords: finite field; many automorphisms; transcendence degree; field ... See more keywords
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POINTS OF SMALL HEIGHT ON AFFINE VARIETIES DEFINED OVER FUNCTION FIELDS OF FINITE TRANSCENDENCE DEGREE

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Published in 2020 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972720001057

Abstract: Abstract We provide a direct proof of a Bogomolov-type statement for affine varieties V defined over function fields K of finite transcendence degree over an arbitrary field k, generalising a previous result (obtained through a… read more here.

Keywords: varieties defined; defined function; affine varieties; function ... See more keywords