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Some examples of $$(p-1)$$-th Frobenius split projectivized bundles
Archiv der Mathematik ( IF 0.6 ) Pub Date : 2020-10-09 , DOI: 10.1007/s00013-020-01527-3
He Xin

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.

中文翻译:

$$(p-1)$$-th Frobenius 分割投影包的一些例子

我们证明了当 $$p>10$$ 时,三维光滑二次曲面的投影余切丛是 $$(p-1)$$ -th Frobenius 分裂。此外,我们证明了某些普通椭圆 K3 表面的余切丛不是 Frobenius 分裂。
更新日期:2020-10-09
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