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Concave transforms and volumes of adelic line bundles

Yuxing Ye

Source record

Source: arXiv

Published: Sep 20, 2026

arXiv: 2609.23722

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Source abstract

We study the relationship between the integrals of Yuan's concave transforms and the characteristic volumes of adelic line bundles on projective varieties. We establish an identity in dimension one and an inequality in higher dimensions. These results yield counterexamples to an identity conjectured by Yuan.

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