A parabolic-bases framework is used to construct the parabolic non-abelian Hodge correspondence in positive characteristic on arbitrary-dimensional log varieties, extending Krishnamoorthy-Sheng's curve-level result.
Tensor product theorem for parabolic $\lambda$-connections
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We establish a tensor product theorem for slope semistable parabolic $\lambda$-connections over smooth projective varieties in arbitrary characteristic.
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Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases
A parabolic-bases framework is used to construct the parabolic non-abelian Hodge correspondence in positive characteristic on arbitrary-dimensional log varieties, extending Krishnamoorthy-Sheng's curve-level result.