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arXiv · 2309.03692

An integration formula of Chern forms on quasi-projective varieties

Ruoyi Guo
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Abstract

In this paper, I generalize the formula that the integration of Chern forms of hermitian line bundles equals the algebraic intersection number of the underlying line bundles. I generalize it to a formula on a quasi-projective variety over a complete valuation field which might be archimedean or non-archimedean. Our result has a close relation with the integration of Betti forms and the notion of non-degeneracy of a closed subvariety.

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Ruoyi Guo. 2023-09-07. An integration formula of Chern forms on quasi-projective varieties. https://arxiv.org/abs/2309.03692

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