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arXiv · 0809.1129

Continuous extension of arithmetic volumes

Atsushi Moriwaki
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Abstract

This paper is the sequel of the paper "Continuity of volumes on arithmetic varieties", in which we established the arithmetic volume function of smooth hermitian Q-invertible sheaves and proved its continuity. The continuity of the volume function has a lot of applications as treated in the paper as above. In this paper, we would like to consider its continuous extension over R.

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Atsushi Moriwaki. 2008-09-06. Continuous extension of arithmetic volumes. https://arxiv.org/abs/0809.1129

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