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math.AG2013★ 2 cited
A Bertini-type theorem for free arithmetic linear series
Hideaki Ikoma
In this paper, we prove a version of the arithmetic Bertini theorem asserting that there exists a strictly small and generically smooth section of a given arithmetically free grade…
math.AG2013★ 1 cited
On the concavity of the arithmetic volumes
Hideaki Ikoma
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 arithme…