L’objet de cet article est de calculer le comportement asymptotique de la torsion analytique de Ray-Singer associée à la -ième puissance symétrique d’un fibré vectoriel holomorphe Hermitien positif quand tend vers . Nous étendons ainsi notre résultat antérieur relatif aux fibrés en droites positifs.
The purpose of this paper is to calculate the asymptotics of the Ray-Singer analytic torsion associated with the -th symmetric power of a holomorphic Hermitian positive vector bundle when tends to . We thus extend our previous results on positive line bundles.
@article{AIF_1990__40_4_835_0,
author = {Bismut, Jean-Michel and Vasserot, E.},
title = {The asymptotics of the {Ray-Singer} analytic torsion of the symmetric powers of a positive vector bundle},
journal = {Annales de l'Institut Fourier},
pages = {835--848},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {40},
number = {4},
year = {1990},
doi = {10.5802/aif.1237},
zbl = {0711.32015},
mrnumber = {92b:58237},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.1237/}
}
TY - JOUR AU - Bismut, Jean-Michel AU - Vasserot, E. TI - The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle JO - Annales de l'Institut Fourier PY - 1990 DA - 1990/// SP - 835 EP - 848 VL - 40 IS - 4 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1237/ UR - https://zbmath.org/?q=an%3A0711.32015 UR - https://www.ams.org/mathscinet-getitem?mr=92b:58237 UR - https://doi.org/10.5802/aif.1237 DO - 10.5802/aif.1237 LA - en ID - AIF_1990__40_4_835_0 ER -
Bismut, Jean-Michel; Vasserot, E. The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle. Annales de l'Institut Fourier, Tome 40 (1990) no. 4, pp. 835-848. doi : 10.5802/aif.1237. http://www.numdam.org/articles/10.5802/aif.1237/
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