Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 009-02. Reconstruction from Milnor K-theory modulo the characteristic
Manuscript map · lines 2595–2604
OpenAI@2026-10-07#rem:oai-p-009-02
Authors: OpenAI. Family 009.
Title: Reconstruction from Milnor K-theory modulo the characteristic.
Abstract: Let K and L be finitely generated extensions of transcendence degree at least two over algebraically closed fields of characteristic p. We prove that every isomorphism of their first Milnor K-groups modulo p preserving the degree-two Steinberg relations is a nonzero scalar multiple of the map induced by a unique field isomorphism. The proof recovers projective lines over the subfields of pth powers by an elementary calculation with derivations.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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