4.2 Article

Embeddings of function fields into ample fields

Journal

MANUSCRIPTA MATHEMATICA
Volume 134, Issue 3-4, Pages 533-544

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00229-010-0415-8

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Funding

  1. European Commission [MRTN-CT-2006-035495]

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Let E be an ample field and K subset of E a subfield. We determine when a function field F/K can be embedded into E and compute the number of such embeddings. We give some applications and exhibit new examples of non-ample fields.

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