Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-08-01
|
| Series: | Complex Manifolds |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0007/coma-2015-0007.xml?format=INT |
| _version_ | 1819117664511983616 |
|---|---|
| author | Ermakova Svetlana |
| author_facet | Ermakova Svetlana |
| author_sort | Ermakova Svetlana |
| collection | DOAJ |
| description | In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that
a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is
isomorphic to a direct sum of line bundles. |
| first_indexed | 2024-12-22T05:36:35Z |
| format | Article |
| id | doaj.art-8fcaa6e5b1524680a07c748328913e3f |
| institution | Directory Open Access Journal |
| issn | 2300-7443 |
| language | English |
| last_indexed | 2024-12-22T05:36:35Z |
| publishDate | 2015-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Complex Manifolds |
| spelling | doaj.art-8fcaa6e5b1524680a07c748328913e3f2022-12-21T18:37:18ZengDe GruyterComplex Manifolds2300-74432015-08-012110.1515/coma-2015-0007coma-2015-0007Vector bundles of finite rank on complete intersections of finite codimension in ind-GrassmanniansErmakova Svetlana0P.G. Demidov Yaroslavl State University, Sovetskaya str., 14, Yaroslavl, 150000, RussiaIn this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.http://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0007/coma-2015-0007.xml?format=INTVector bundles Barth-Van de Ven-Tyurin-Sato theorem ind-varietiesPrimary 14M10 Secondary 14J60 32L05 |
| spellingShingle | Ermakova Svetlana Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians Complex Manifolds Vector bundles Barth-Van de Ven-Tyurin-Sato theorem ind-varieties Primary 14M10 Secondary 14J60 32L05 |
| title | Vector bundles of finite rank on complete
intersections of finite codimension in
ind-Grassmannians |
| title_full | Vector bundles of finite rank on complete
intersections of finite codimension in
ind-Grassmannians |
| title_fullStr | Vector bundles of finite rank on complete
intersections of finite codimension in
ind-Grassmannians |
| title_full_unstemmed | Vector bundles of finite rank on complete
intersections of finite codimension in
ind-Grassmannians |
| title_short | Vector bundles of finite rank on complete
intersections of finite codimension in
ind-Grassmannians |
| title_sort | vector bundles of finite rank on complete intersections of finite codimension in ind grassmannians |
| topic | Vector bundles Barth-Van de Ven-Tyurin-Sato theorem ind-varieties Primary 14M10 Secondary 14J60 32L05 |
| url | http://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0007/coma-2015-0007.xml?format=INT |
| work_keys_str_mv | AT ermakovasvetlana vectorbundlesoffiniterankoncompleteintersectionsoffinitecodimensioninindgrassmannians |