2001/12/12 by Alain Berthomieu, Berthomieu, Alain
Materials Science · Mathematics · #14K99 #47A75 #58A14 #58G25 #Differential Geometry (math.DG) #FOS: Mathematics #Textile materials and evaluations #math.DG #msc:14K99 #msc:47A75 #msc:58A14 #msc:58G25
paper · pdf · doi:10.48550/arxiv.math/0112115
10 pages, in french
arxiv created 2001/12/12 · openalex publication_date 2001/12/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.