The generalized holomorphic analytic torsion for the integrable line bundles

作者：Hajli Mounir^*

来源：Comptes Rendus Mathematique, 2014, 352(5): 441-445.

DOI：10.1016/j.crma.2014.03.010

Let X be a compact Kahler manifold. We extend the notion of Quillen metric to the integrable line bundles (L) over bar on X. In particular, we show that the notion of holomorphic analytic torsion extends to integrable line bundles (L) over bar satisfying H-q (X, L) = 0 for q >= 1.

• 出版日期2014-5