Corrections and notes to “Value groups, residue fields and bad places of rational function fields”

Corrections and notes to “Value groups, residue fields and bad places of rational function fields”
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by Anna Blaszczok and Franz-Viktor Kuhlmann PDF

Trans. Amer. Math. Soc. 367 (2015), 4505-4515 Request permission

We correct mistakes in a 2004 paper by the second author and report on recent new developments which settle cases left open in that paper.

References

Anna Blaszczok, On the structure of immediate extensions of valued lelds, Ph.D. thesis, University of Silesia 2014.
Anna Blaszczok and Franz-Viktor Kuhlmann, Algebraic independence of elements in immediate extensions of valued fields, J. Algebra 425 (2015), 179–214. MR 3295983, DOI 10.1016/j.jalgebra.2014.10.050
Anna Blaszczok and Franz-Viktor Kuhlmann, On maximal immediate extensions of valued fields, in preparation.
Franz-Viktor Kuhlmann, Value groups, residue fields, and bad places of rational function fields, Trans. Amer. Math. Soc. 356 (2004), no. 11, 4559–4600. MR 2067134, DOI 10.1090/S0002-9947-04-03463-4
Franz-Viktor Kuhlmann, A classification of Artin-Schreier defect extensions and characterizations of defectless fields, Illinois J. Math. 54 (2010), no. 2, 397–448. MR 2846467

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Additional Information

Anna Blaszczok
Affiliation: Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland
Email: anna.blaszczok@us.edu.pl
Franz-Viktor Kuhlmann
Affiliation: Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6
Email: fvk@math.usask.ca
Received by editor(s): January 30, 2014
Received by editor(s) in revised form: February 24, 2014
Published electronically: February 12, 2015
Additional Notes: Part of this paper was prepared while the first author was a guest of the Department of Mathematics and Statistics of the University of Saskatchewan. She gratefully acknowledges their hospitality and support.
The second author was partially supported by a Canadian NSERC grant. He also gratefully acknowledges the hospitality of the Institute of Mathematics of the University of Silesia in Katowice, Poland.
Journal: Trans. Amer. Math. Soc. 367 (2015), 4505-4515
MSC (2010): Primary 12J10; Secondary 12J15, 16W60
DOI: https://doi.org/10.1090/S0002-9947-2015-06452-6
MathSciNet review: 3324937