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Métriques de sous-quotient et théorème de Hilbert-Samuel arithmétique pour les faisceaux cohérents
- Source :
- Journal für die reine und angewandte Mathematik, Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2006, 590, pp.67-88
- Publication Year :
- 2006
- Publisher :
- HAL CCSD, 2006.
-
Abstract
- 23 pages, in French; The aim of this paper is twofold. First we prove a theorem of extension of sections of a coherent subquotient of a hermitian 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 hermitian 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.
- Subjects :
- Mathematics::Commutative Algebra
Applied Mathematics
General Mathematics
010102 general mathematics
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
16. Peace & justice
01 natural sciences
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
Mathematics::Algebraic Geometry
0103 physical sciences
010307 mathematical physics
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
0101 mathematics
Humanities
Mathematics
Subjects
Details
- Language :
- French
- ISSN :
- 00754102 and 14355345
- Database :
- OpenAIRE
- Journal :
- Journal für die reine und angewandte Mathematik, Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2006, 590, pp.67-88
- Accession number :
- edsair.doi.dedup.....966c97bae97f404f12d86a4b146a2f1d