Positivity on Deligne–Mumford Stacks Without the Torsion-Free Hypothesis
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Statement
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.
Context
Removes a hypothesis its own authors described as technical. A real but modest closure of a gap noted in a remark.
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The main result was obtained with ChatGPT 5.5 Pro and the Danus system, an agent built on Rethlas; human verification and polishing came afterwards. The authors caution that AI limitations mean related literature may have been missed.
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