ANALYTIC-TORSION AND FOURIER-TRANSFORM OF LINE BUNDLES OVER FLAT COMPLEX TORI

Authors
BERTHOMIEU A
Citation
A. Berthomieu, ANALYTIC-TORSION AND FOURIER-TRANSFORM OF LINE BUNDLES OVER FLAT COMPLEX TORI, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(8), 1996, pp. 913-916
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
8
Year of publication
1996
Pages
913 - 916
Database
ISI
SICI code
0764-4442(1996)323:8<913:AAFOLB>2.0.ZU;2-A
Abstract
One calculates the spectrum and the analytic torsion of all line bundl es over a complex torus, thus generalizing results of [7] and [11]. Tw o Quillen metrics on the determinant of their Fourier transform are al so compared. This is a test for a conjectural formula which generalize s both [2], formula (0.3) and [6], theorem 0.1.