Frobenius liftability conjecture for cusp singularities
A cusp singularity is a normal surface singularity whose minimal resolution has exceptional divisor a cycle of rational curves.
Frobenius liftability conjecture. Every cusp singularity is -liftable.
Cusp singularities are always -pure, and the conjecture proposes the analogous Frobenius liftability property. The paper provides no resolution of this expectation.
References
Primary source
Tatsuro Kawakami and Teppei Takamatsu, “On Frobenius liftability of surface singularities”, arXiv:2402.08152 (2024).
Additional references
4 papers in this index state this conjecture (2017–2024). The statement above is taken from the most recent of them; the others are arXiv:2201.06124, arXiv:2102.02788, arXiv:1708.03777.
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