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.
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.
@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}, mrnumber = {92b:58237}, zbl = {0711.32015}, language = {en}, url = {http://archive.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 SP - 835 EP - 848 VL - 40 IS - 4 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1237/ DO - 10.5802/aif.1237 LA - en ID - AIF_1990__40_4_835_0 ER -
%0 Journal Article %A Bismut, Jean-Michel %A Vasserot, E. %T The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle %J Annales de l'Institut Fourier %D 1990 %P 835-848 %V 40 %N 4 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.1237/ %R 10.5802/aif.1237 %G en %F AIF_1990__40_4_835_0
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, Volume 40 (1990) no. 4, pp. 835-848. doi : 10.5802/aif.1237. http://archive.numdam.org/articles/10.5802/aif.1237/
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