Continuous extension of arithmetic volumes

Details Continuous extension of arithmetic volumes Continuous extension of arithmetic volumes

2008-09-06

arxiv.org/abs/0809.1129v1

Mathematics

Algebraic Geometry

33 pages

Scientific paper

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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