Kollár and Kovács's Question on Cohomology of Fibers
Kollár and Kovács asked whether the first cohomology of the structure sheaf of the fibers must be constant for a flat projective morphism to a smooth curve whose fibers are Cohen-Macaulay and reduced and whose generic fiber is smooth. It need not be: such a morphism exists with non-constant first cohomology.
Exact FrontierDelta
Scope and record
Occurred: Sep 3, 2026
Delta type: REGISTRY REVISION
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: Kollár and Kovács's Question on Cohomology of Fibers · Kollár-Kovács fiber cohomology
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
ChatGPT 5.5 Pro
model · ai model contributor
Rethlas
model · ai model contributor
Jihao Liu
human · human collaborator
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This event attributed to Rethlas
Kollár and Kovács's Question on Cohomology of Fibers parent of this event
This event attributed to Jihao Liu
Kollár and Kovács asked whether the first cohomology of the structure sheaf of the fibers must be constant for a flat projective morphism to a smooth curve whose fibers are Cohen-Macaulay and reduced and whose generic fiber is smooth. It need not be: such a morphism exists with non-constant first cohomology. parent of this event
Kollár and Kovács's Question on Cohomology of Fibers evidence for this event
VibeMathed record: Kollár and Kovács's Question on Cohomology of Fibers evidence for this event
This event attributed to ChatGPT 5.5 Pro