Le spectre et la torsion analytique des fibres en droites sur les tores complexes
arXiv:math/0112115
Abstract
The spectrum of the Laplace-Dolbeault operator for any line bundle with parallel curvature on a flat complex torus is computed. The Ray-Singer analytic torsion is then deduced, generalizing thus Bost's result for ample line bundles and Ray-Singer's ones for flat bundles, of which we a geometric interpretation is given.
10 pages, in french