Asymptotic behaviour of the sectional ring
The theory of the Okounkov body is a usual tool for analyzing the asymptotic behaviour of the sectional ring of a line bundle over a projective manifold. In this note, combined with the algebraic reduction, we study the asymptotic behaviour of the sectional ring of a line bundle over any arbitrary c...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-11-01
|
| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.651/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206194194612224 |
|---|---|
| author | Wu, Xiaojun |
| author_facet | Wu, Xiaojun |
| author_sort | Wu, Xiaojun |
| collection | DOAJ |
| description | The theory of the Okounkov body is a usual tool for analyzing the asymptotic behaviour of the sectional ring of a line bundle over a projective manifold. In this note, combined with the algebraic reduction, we study the asymptotic behaviour of the sectional ring of a line bundle over any arbitrary compact, normal, irreducible complex space. |
| format | Article |
| id | doaj-art-dc9dfcfbd2f94571a7ce460bdcc87d20 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-dc9dfcfbd2f94571a7ce460bdcc87d202025-02-07T11:23:50ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G111389139710.5802/crmath.65110.5802/crmath.651Asymptotic behaviour of the sectional ringWu, Xiaojun0Universität Bayreuth, Universitätsstraße 30, 95447 Bayreuth, GermanyThe theory of the Okounkov body is a usual tool for analyzing the asymptotic behaviour of the sectional ring of a line bundle over a projective manifold. In this note, combined with the algebraic reduction, we study the asymptotic behaviour of the sectional ring of a line bundle over any arbitrary compact, normal, irreducible complex space.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.651/Okounkov bodycanonical ringalgebraic reduction |
| spellingShingle | Wu, Xiaojun Asymptotic behaviour of the sectional ring Comptes Rendus. Mathématique Okounkov body canonical ring algebraic reduction |
| title | Asymptotic behaviour of the sectional ring |
| title_full | Asymptotic behaviour of the sectional ring |
| title_fullStr | Asymptotic behaviour of the sectional ring |
| title_full_unstemmed | Asymptotic behaviour of the sectional ring |
| title_short | Asymptotic behaviour of the sectional ring |
| title_sort | asymptotic behaviour of the sectional ring |
| topic | Okounkov body canonical ring algebraic reduction |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.651/ |
| work_keys_str_mv | AT wuxiaojun asymptoticbehaviourofthesectionalring |