Extension de la torsion analytique holomorphe aux fibrés en droites intégrables

Abstract

Let $X$ be a compact Kähler manifold. We extend the notion of Quillen metric to the set of integrable line bundles on $X$. In particular, we prove that the notion of holomorphic analytic torsion extends to integrable line bundles $\bar{L}$, such that $H^q(X,L)=0$ for $q\ge 1$.

arXiv comment17 pages, in French, A short version is accepted for publication in "Comptes Rendus de l'Académie des Sciences"