Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 068-04. Cohomological transfer and equivariant anticanonical sections
Manuscript map · lines 3835–3844
OpenAI@2026-10-07#rem:oai-p-068-04
Authors: OpenAI. Family 068.
Title: Cohomological transfer and equivariant anticanonical sections.
Abstract: Let X be a smooth projective complex variety with smoothly semipositive anticanonical bundle. For any torus linearization of that bundle, we show that invariant sections in unbounded degrees with one fixed negative pseudoeffective error yield an invariant section in a positive untwisted degree. Combining the natural invariant index with compact-monodromy structure, we deduce that every such X has a nonzero section of some positive anticanonical power.
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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