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Tensor product theorem for parabolic $\lambda$-connections

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arxiv 2107.06624 v2 pith:WOVVPQAE submitted 2021-07-14 math.AG

Mao Sheng , Jianping Wang This is my paper · ORCID
classification math.AG
keywords connectionslambdaparabolicproducttensortheoremarbitrarycharacteristic
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abstract

We establish a tensor product theorem for slope semistable parabolic $\lambda$-connections over smooth projective varieties in arbitrary characteristic.

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  1. Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases

    math.AG 2025-01 conditional novelty 5.0 of 10

    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.

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