![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextgreen.png)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextred.png)
![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextgreen.png)
![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltext_open_medium.gif)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextred.png)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltext_restricted_medium.gif)
Serre’s Construction of Rank Two Vector Bundles and the Transversal Jet Bundles of Certain Codimension One Holomorphic Foliations
Subscribe/Renew Journal
Let S be a locally complete intersection subvariety of ℂℙd of pure dimension d − 2 . Serre gave a construction of a rank two vector bundle over ℂℙd under the assumption that the determinant of the normal bundle to S extends to ℂℙd. We give an explicit description of this rank two vector bundle in the special case where S is the singular locus of a codimension one foliation on a complex manifold M. This foliation is assumed to satisfy certain nondegeneracy conditions. The rank two vector bundle is obtained from certain transversal jet bundles, associated to a foliation, that are constructed here.
AMS (2000) Subject Classification. 13C10, 13B25.
User
Subscription
Login to verify subscription
Font Size
Information
![](https://i-scholar.in/public/site/images/abstractview.png)
Abstract Views: 190
![](https://i-scholar.in/public/site/images/pdfview.png)
PDF Views: 0