Peternell–Höring nonvanishing conjecture for cotangent bundles

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Let XX be a projective manifold, let qq satisfy 1eq1 e q and qedim⁡Xq e \dim X only if excluded?

References

Primary source

Junyan Cao and Andreas Höring, “Direct images of pseudoeffective cotangent bundles”, arXiv:2302.12658 (2023).

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