Exponential algebraicity in exponential fields

Jonathan Kirby

doi:10.1112/blms/bdq044

Exponential algebraicity in exponential fields

Jonathan Kirby

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

78 Downloads (Pure)

Abstract

The exponential algebraic closure operator in an exponential field is always a pregeometry and its dimension function satisfies a weak Schanuel property. It follows that there are at most countably many essential counterexamples to Schanuel's conjecture.

Original language	English
Pages (from-to)	879-890
Number of pages	12
Journal	Bulletin of the London Mathematical Society
Volume	42
Issue number	5
DOIs	https://doi.org/10.1112/blms/bdq044
Publication status	Published - 2010

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Cite this

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