Positivity on Deligne–Mumford Stacks Without the Torsion-Free Hypothesis
Casalaina-Martin and Zhjeqi proved that the first Chern class of every torsion-free coherent quotient of a tensor power of the logarithmic cotangent sheaf is pseudo-effective, noting in Remark 4.5 that torsion-freeness was imposed only for technical reasons. Can it be dropped? Yes.
Exact FrontierDelta
Scope and record
Occurred: Jul 29, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Positivity on Deligne–Mumford Stacks Without the Torsion-Free Hypothesis · DM positivity
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Shengyu Hou
human · human collaborator
Jihao Liu
human · human collaborator
ChatGPT 5.5 Pro + Danus
model · ai model contributor
Lineage and corrections
This event attributed to Jihao Liu
This event attributed to Shengyu Hou
This event attributed to ChatGPT 5.5 Pro + Danus