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Paper detail

Hilbert-Samuel formula and positivity over adelic curves

We establish, in the setting of Arakelov geometry over adelic curves, an arithmetic Hilbert-Samuel theorem describing the asymptotic behaviour of the metrized graded linear series of an adelic line bundle in terms of its arithmetic intersection number. We then study positivity conditions of adelic line bundles.

preprint2022arXivOpen access
Huayi ChenAtsushi Moriwaki
math.AGmath.NT
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Huayi ChenAtsushi Moriwaki

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