Alphabeta Math

Weak stability and framed Calabi–Yau fourfold moduli: examples

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How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

  • Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
  • AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
  • AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

✓ 7 results · all verified · 1 also independently AI-judged
Every result on this page is machine-checked by a proof checker and read in full by a delegated reviewing agent on the owner's instruction; the judge is an additional, independent cross-model AI review of the proofs. The 6 not AI-judged were verified by owner audit (typically over a confirmed judge false positive), not failures.
1 · Prerequisites
2 · Logical flowchart

3 · Items

Example

Gts weak phase ordinary low kernel

Example

Gts common line versus independent pair framing

Example

Gts odd factor even total r3 parity

Example

Gts full total invariant flag unseen complement

Example

Gts local sheaf divisor annihilation

Example

Gts framing comparison bracket rank one check

Example

Gts direct sum framing free open gysin

Sources