Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Métriques de sous-quotient et théorème de Hilbert-Samuel arithmétique pour les faisceaux cohérents
Veröffentlicht/Copyright:
27. April 2006
Abstract
The aim of this paper is twofold. First we prove a theorem of extension of sections of a coherent subquotient of a metrized vector bundle on a complex analytic space with control of the norms, without any of the smoothness assumptions that were needed in previously known analogous results. Then we show how to associate an arithmetic Hilbert-Samuel function to a coherent sheaf on an arithmetic variety—provided this coherent sheaf is a subquotient of a metrized vector bundle—and, using the classical arithmetic Hilbert-Samuel theorem and our extension theorem, we give the leading term of the so constructed arithmetic Hilbert-Samuel function.
Received: 2004-03-23
Revised: 2005-01-11
Published Online: 2006-04-27
Published in Print: 2006-01-26
© Walter de Gruyter
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Rough solutions of the Einstein constraint equations
- Theta functions of arbitrary order and their derivatives
- Extended deformation of Kodaira surfaces
- Métriques de sous-quotient et théorème de Hilbert-Samuel arithmétique pour les faisceaux cohérents
- Sheaves of t-structures and valuative criteria for stable complexes
- Rational connectedness of log Q-Fano varieties
- Operator synthesis II: Individual synthesis and linear operator equations
- Moufang quadrangles of type E6 and E7
- Tannakian Krull-Schmidt reduction
Artikel in diesem Heft
- Rough solutions of the Einstein constraint equations
- Theta functions of arbitrary order and their derivatives
- Extended deformation of Kodaira surfaces
- Métriques de sous-quotient et théorème de Hilbert-Samuel arithmétique pour les faisceaux cohérents
- Sheaves of t-structures and valuative criteria for stable complexes
- Rational connectedness of log Q-Fano varieties
- Operator synthesis II: Individual synthesis and linear operator equations
- Moufang quadrangles of type E6 and E7
- Tannakian Krull-Schmidt reduction
