no. 4
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.

L’objet de cet article est de calculer le comportement asymptotique de la torsion analytique de Ray-Singer associée à la p-ième puissance symétrique d’un fibré vectoriel holomorphe Hermitien positif quand p 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 p-th symmetric power of a holomorphic Hermitian positive vector bundle when p tends to +∞. We thus extend our previous results on positive line bundles.

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     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},
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.1237/

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