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arXiv · 1301.1798

Sur une inégalité fonctionnelle sur les variétés toriques avec application à la torsion analytique holomorphe

Mounir Hajli
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Abstract

Let $X$ be a complex non-singular toric variety, $E$ an equivariant and ample line bundle on $X$. We introduce a new functional $V_\infty$ on the set of smooth, positive and invariant metrics on $E$. We compare $V_\infty$ to some classical functionals. As an application, we study the variation of the holomorphic analytic torsion.

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Mounir Hajli. 2013-01-16. Sur une inégalité fonctionnelle sur les variétés toriques avec application à la torsion analytique holomorphe. https://arxiv.org/abs/1301.1798

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