Author(s): Dr. Ravindra Kumar Dev and Ghanshyam Kumar Singh

Abstract: Let X be a 2-dimensional complex smooth algebraic variety and let X_ho1 be the associated complex manifold. If X_ho1 is not compact, usually X_ho1 admits holomorphic vector bundles that are not algebrazable and non-isomorphic algebraic vector bundles which are isomorphic as holomorphic vector bundles. In this chapter we want to study some cases in which these phenomena of manifolds such that every (holomorphic or algebraic) vector bundle on them is an extension of line bundles. This is always true of dimension >1.

Pages: 100-103 | Views: 542 | Downloads: 22

Download Full Article: Click Here