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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Henselian defect for valued function fields
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by Jack Ohm PDF
Proc. Amer. Math. Soc. 107 (1989), 299-308 Request permission

Abstract:

The notion of defect for finite algebraic extensions of valued fields is classical and due to Ostrowski. Recently Matignon has generalized Ostrowski’s definition to rk 1 (residually transcendental) valued function fields and used it to prove a very sharp version of the genus reduction inequality for $1 - \dim$ function fields. The further generalization of the notion of defect to valued function fields of arbitrary rk is treated here.
References
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 107 (1989), 299-308
  • MSC: Primary 12F20; Secondary 12J10
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0975654-7
  • MathSciNet review: 975654