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

Alain Berthomieu

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

Alain Berthomieu

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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.

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Alain Berthomieu. 2001-12-12. Le spectre et la torsion analytique des fibres en droites sur les tores complexes. https://arxiv.org/abs/math/0112115

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