NTP2 transfer conjecture for henselian valued fields of positive characteristic
NTP2 transfer conjecture for henselian valued fields of positive characteristic
Let be a henselian valued field of positive characteristic. A valued field is tame if it satisfies the standard tameness conditions for henselian valued fields. NTP2 transfer conjecture. The valued field is NTP2 if and only if it is tame and its residue field is NTP2.
This conjecture seeks an optimal transfer theorem reducing the classification of NTP2 henselian valued fields in positive characteristic to their residue fields. The forward implication is supported by known results establishing semitamenness under NTP2, while the converse is known in important special cases such as separably algebraically maximal Kaplansky fields; the full equivalence remains open.
Sources & referencesView supporting material
Primary source
Sylvy Anscombe and Blaise Boissonneau, “Elimination results for tame fields with finite residue fields”, arXiv:2604.26129 (2026).
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