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The spectrum of the Laplace-Dolbeault operator for any line bundle withparallel curvature on a flat complex torus is computed. The Ray-Singer analytictorsion is then deduced, generalizing thus Bost's result for ample line bundlesand Ray-Singer's ones for flat bundles, of which we a geometric interpretationis given.

Le spectre et la torsion analytique des fibres en droites sur les tores complexes