Mathematics – Differential Geometry
Scientific paper
2001-12-12
Mathematics
Differential Geometry
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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