Abstract
We prove that the projectivized cotangent bundles of smooth quadrics of dimensions three and four are \((p-1)\)-th Frobenius split when \(p>10\). Besides, we show that the cotangent bundles of certain ordinary elliptic K3 surfaces are not Frobenius split.
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Acknowledgements
The author would like to thank the referees heartily for pointing out errors in this paper and providing suggestions which help simplify several arguments there and make it more readable.
Funding
Funding was provided by National Natural Science Foundation of China (Grant No. 11626042).
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Xin, H. Some examples of \((p-1)\)-th Frobenius split projectivized bundles. Arch. Math. 115, 627–637 (2020). https://doi.org/10.1007/s00013-020-01527-3
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DOI: https://doi.org/10.1007/s00013-020-01527-3