Diophantine Undecidability of Function Fields of Characteristic Greater than 2, Finitely Generated over Fields Algebraic over a Finite Field期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Diophantine Undecidability of Function Fields of Characteristic Greater than 2, Finitely Generated over Fields Algebraic over a Finite Field

Authors:	Alexandra Shlapentokh

Affiliation:	(1) Department of Mathematics, East Carolina University, Greenville, NC, 27858, U.S.A.

Abstract:	Let F be a function field of characteristic p > 2, finitely generated over a field C algebraic over a finite field C_p and such that it has an extension of degree p. Then Hilbert's Tenth Problem is not decidable over F.

Keywords:	Hilbert's Tenth Problem diophantine undecidability function fields of positive characteristic
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