The Kuga-Satake Hodge conjecture for K3 surfaces
Claims that the Kuga-Satake correspondence is algebraic for every smooth projective complex K3 surface, with the fixed normalization and the full even-Clifford target, and also for isogenous Kuga-Satake models. Combined with the quadratic-locus companion it gives the Hodge conjecture for every self-power of every projective K3 surface. It does not address non-projective K3 surfaces or integral coefficients.
Exact FrontierDelta
Scope and record
Occurred: Sep 10, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: contested. Publication: announcement. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.
Canonical aliases: The Kuga-Satake Hodge conjecture for K3 surfaces · Kuga-Satake Hodge conjecture
Confidence: Not scored
Registry verification: contested · announcement · retracted
Attribution
VibeMathed
registry · event recorded by
Unreleased internal OpenAI model
model · ai model contributor · OpenAI
Lineage and corrections
The rational Hodge conjecture for products of K3 surfaces (OpenAI, 2026-10-04) evidence for this event
Algebraicity of Kuga-Satake correspondences for K3 surfaces (OpenAI, 2026-10-03) evidence for this event
This event attributed to Unreleased internal OpenAI model
Algebraic Kuga-Satake correspondences and Hodge conjectures on a K3 quadratic locus (OpenAI, 2026-09-30) evidence for this event
Claims that the Kuga-Satake correspondence is algebraic for every smooth projective complex K3 surface, with the fixed normalization and the full even-Clifford target, and also for isogenous Kuga-Satake models. Combined with the quadratic-locus companion it gives the Hodge conjecture for every self-power of every projective K3 surface. It does not address non-projective K3 surfaces or integral coefficients. parent of this event
The Kuga-Satake Hodge conjecture for K3 surfaces parent of this event
OpenAI withdrawal notice (6 October 2026) evidence for this event
VibeMathed record: The Kuga-Satake Hodge conjecture for K3 surfaces evidence for this event
A conditional reduction for algebraic Kuga-Satake correspondences (OpenAI, 2026-09-10) evidence for this event
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