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The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle

Jean-Michel Bismut, E. Vasserot (1990)

Annales de l'institut Fourier

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 $+ \infty$ . We thus extend our previous results on positive line bundles.

The Infinitesimal Torelli Problem for Zero Sets of Sections of Vector Bundles.

Hubert Flenner (1986)

Mathematische Zeitschrift

The Levi problem for cohomology classes

Mihnea Coltoiu (1984)

Annales de l'institut Fourier

In this paper we extend to complex spaces and coherent analytic sheaves some results of Andreotti and Norguet concerning the extension of cohomology classes.

The Levi Problem on Complex Spaces with Singularities.

J.E. Fornaess, R. Narasimhan (1980)

Mathematische Annalen

Théorème de Hilbert-Samuel «arithmétique»

Ahmed Abbes, Thierry Bouche (1995)

Annales de l'institut Fourier

On donne une nouvelle démonstration directe du théorème de Hilbert-Samuel arithmétique et on déduit un critère numérique pour l’existence de sections d’un fibré en droite sur une variété arithmétique de norme sup inférieure à un.

Topologien auf Schnittmoduln kohärenter komplex- und reell-analytischer Garben.

Wolfram Decker (1982)

Manuscripta mathematica

Displaying 1 – 6 of 6

The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle

The Infinitesimal Torelli Problem for Zero Sets of Sections of Vector Bundles.

The Levi problem for cohomology classes

The Levi Problem on Complex Spaces with Singularities.

Théorème de Hilbert-Samuel «arithmétique»

Topologien auf Schnittmoduln kohärenter komplex- und reell-analytischer Garben.

Currently displaying 1 – 6 of 6