Scalar Flat Kähler Metrics on Affine Bundles over CP¹
We show that the total space of any affine C-bundle over CP¹ with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bu...
Збережено в:
| Дата: | 2014 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146689 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Scalar Flat Kähler Metrics on Affine Bundles over CP¹ / N. Honda // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146689 |
|---|---|
| record_format |
dspace |
| fulltext |
|
| spelling |
irk-123456789-1466892019-02-11T01:24:42Z Scalar Flat Kähler Metrics on Affine Bundles over CP¹ Honda, N. We show that the total space of any affine C-bundle over CP¹ with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree. 2014 Article Scalar Flat Kähler Metrics on Affine Bundles over CP¹ / N. Honda // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53A30 DOI:10.3842/SIGMA.2014.046 http://dspace.nbuv.gov.ua/handle/123456789/146689 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We show that the total space of any affine C-bundle over CP¹ with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree. |
| format |
Article |
| author |
Honda, N. |
| spellingShingle |
Honda, N. Scalar Flat Kähler Metrics on Affine Bundles over CP¹ Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Honda, N. |
| author_sort |
Honda, N. |
| title |
Scalar Flat Kähler Metrics on Affine Bundles over CP¹ |
| title_short |
Scalar Flat Kähler Metrics on Affine Bundles over CP¹ |
| title_full |
Scalar Flat Kähler Metrics on Affine Bundles over CP¹ |
| title_fullStr |
Scalar Flat Kähler Metrics on Affine Bundles over CP¹ |
| title_full_unstemmed |
Scalar Flat Kähler Metrics on Affine Bundles over CP¹ |
| title_sort |
scalar flat kähler metrics on affine bundles over cp¹ |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146689 |
| citation_txt |
Scalar Flat Kähler Metrics on Affine Bundles over CP¹ / N. Honda // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT hondan scalarflatkahlermetricsonaffinebundlesovercp1 |
| first_indexed |
2025-07-11T00:26:01Z |
| last_indexed |
2025-07-11T00:26:01Z |
| _version_ |
1837308117192278016 |