Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 057-03. A conditional abelianity theorem for special fourfold pairs with a half-weight divisor
Manuscript map · lines 3665–3674
OpenAI@2026-10-07#rem:oai-p-057-03
Authors: OpenAI. Family 057.
Title: A conditional abelianity theorem for special fourfold pairs with a half-weight divisor.
Abstract: Using the abelianity theorem for special compact Kähler manifolds in every dimension, we prove virtual abelianity of the entire orbifold fundamental group of the special order-two root orbifold associated with a pair $(X,{}tfrac12D)$, where X is a smooth projective fourfold and D is a nonempty smooth connected divisor. We construct a special smooth projective eightfold whose fundamental group surjects onto the required group.
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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