Quasi-projective Schemes Research Articles

Basic elements in graded rings

In dealing with graded rings or projective varieties, it is often necessary to find homogeneous elements of graded modules with certain desirable properties. In this paper we prove a “graded version” of the theorem of Eisenbud and Evans on basic elements. [2, Theorem A]. This result is used to generalize a theorem of Kleiman on subbundles of vector bundles on quasiprojective schemes.