The effective log Iitaka conjecture for log canonical pairs with finite rational coefficient sets
'Uniform effective log Iitaka fibrations for fourfolds' (September 26): for normal projective lc complex fourfolds with coefficients in a fixed finite rational set and pseudo-effective rational Cartier adjoint, one degree makes the rounded system nonempty with section ratios generating the Iitaka field; it also bounds the canonical index of klt Calabi-Yau fourfolds. 'Uniform log Iitaka fibrations and bounded moduli denominators' (October 4): the same conclusion for over any algebraically closed field of characteristic zero, with bounded Cartier denominators for moduli divisors. Not shown: the DCC case of the conjecture in dimension four or more.
Exact FrontierDelta
Scope and record
Occurred: Sep 26, 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 effective log Iitaka conjecture for log canonical pairs with finite rational coefficient sets · Effective log Iitaka, finite coefficients
Confidence: Not scored
Registry verification: contested · announcement · partial
Attribution
VibeMathed
registry · event recorded by
Unreleased internal OpenAI model
model · ai model contributor · OpenAI
Lineage and corrections
Revised edition (October 6, 2026): Conditional good minimal models for compact Kähler fourfolds evidence for this event
VibeMathed record: The effective log Iitaka conjecture for log canonical pairs with finite rational coefficient sets evidence for this event
This event attributed to Unreleased internal OpenAI model
Chen, Han and Liu (arXiv 2301.04813), Conjecture 1.2 evidence for this event
The effective log Iitaka conjecture for log canonical pairs with finite rational coefficient sets evidence for this event
'Uniform effective log Iitaka fibrations for fourfolds' (September 26): for normal projective lc complex fourfolds with coefficients in a fixed finite rational set and pseudo-effective rational Cartier adjoint, one degree makes the rounded system nonempty with section ratios generating the Iitaka field; it also bounds the canonical index of klt Calabi-Yau fourfolds. 'Uniform log Iitaka fibrations and bounded moduli denominators' (October 4): the same conclusion for over any algebraically closed field of characteristic zero, with bounded Cartier denominators for moduli divisors. Not shown: the DCC case of the conjecture in dimension four or more. parent of this event
The effective log Iitaka conjecture for log canonical pairs with finite rational coefficient sets parent of this event
The 5 October appendix calling projective log abundance conditional evidence for this event
Relative denominators and effective systems for log Calabi-Yau fibrations evidence for this event
Companion (d at least 5): Uniform log Iitaka fibrations and bounded moduli denominators evidence for this event
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