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Concave transforms and volumes of adelic line bundles
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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BibTeX
@misc{ye2026concave,
title = {{Concave transforms and volumes of adelic line bundles}},
author = {Yuxing Ye},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23722},
eprint = {2609.23722},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23722},
}
RIS
TY - UNPB
TI - Concave transforms and volumes of adelic line bundles
AU - Yuxing Ye
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23722
UR - https://arxiv.org/abs/2609.23722
AB - 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.
ER -