Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 034-14. Abundance after nonvanishing for compact Kähler fourfolds
Manuscript map · lines 3255–3264
OpenAI@2026-10-07#rem:oai-p-034-14
Authors: OpenAI. Family 034.
Title: Abundance after nonvanishing for compact Kähler fourfolds.
Abstract: We prove semiampleness of the actual ℚ-Cartier adjoint $K_X+{}Delta$ of a normal connected compact Kähler klt fourfold whenever it is analytically nef and some positive Cartier multiple has a nonzero section. The boundary is effective and rational; the fourfold need not be projective or ℚ-factorial. In Iitaka dimension zero, a positive Cartier multiple is the trivial holomorphic line bundle.
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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