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arXiv · 1301.1784

Volume arithmétique de certains fibrés en droites hermitiens sur une variété torique lisse

Mounir Hajli
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Abstract

Let $X$ be a smooth projective toric variety over $Spec(Z)$. Let $\bar{\mathcal{O}(D)}$ be an equivariant hermitian line bundle on $X$, equipped with a positive metric and invariant under the action of the compact torus of $X(C)$, we provide a formula for the arithmetic volume in term of Fenchel-Legendre transform attached to the metric.

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Mounir Hajli. 2014-03-13. Volume arithmétique de certains fibrés en droites hermitiens sur une variété torique lisse. https://arxiv.org/abs/1301.1784

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