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

Mathematics – Differential Geometry

Scientific paper

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10 pages, in french

Scientific paper

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.

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