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- W3118359862 abstract "We prove that a valued field of positive characteristic [Formula: see text] that has only finitely many distinct Artin–Schreier extensions (which is a property of infinite NTP 2 fields) is dense in its perfect hull. As a consequence, it is a deeply ramified field and has [Formula: see text]-divisible value group and perfect residue field. Further, we prove a partial analogue for valued fields of mixed characteristic and observe an open problem about 1-units in this setting. Finally, we fill a gap that occurred in a proof in an earlier paper in which we first introduced a classification of Artin–Schreier defect extensions." @default.
- W3118359862 created "2021-01-18" @default.
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- W3118359862 date "2021-01-04" @default.
- W3118359862 modified "2023-09-27" @default.
- W3118359862 title "Valued fields with finitely many defect extensions of prime degree" @default.
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- W3118359862 doi "https://doi.org/10.1142/s0219498822500499" @default.
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