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arxiv: 1310.8424 · v3 · pith:YD6PWUO4new · submitted 2013-10-31 · 🧮 math.AG

On the concavity of the arithmetic volumes

classification 🧮 math.AG
keywords arithmeticvolumesr-divisorsalongbrunn-minkowskiconcavityconditionscone
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In this note, we study the differentiability of the arithmetic volumes along arithmetic R-divisors, and give some equality conditions for the Brunn-Minkowski inequality for arithmetic volumes over the cone of nef and big arithmetic R-divisors.

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