Abstract
We propose an extended notion of adelic -Cartier divisors, called -adelic -Cartier divisors, which enables us to associate a Banach space to each algebraic variety over the field of rational numbers, and establish the global continuity of the arithmetic volume function defined on the space of pairs of -adelic -Cartier divisors and -base conditions.
Citation
Hideaki Ikoma. "Adelic Cartier divisors with base conditions and the continuity of volumes." Kyoto J. Math. 61 (4) 905 - 947, December 2021. https://doi.org/10.1215/21562261-2021-0018
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