Holomorphic C* Actions and Vector Fields on Projective Varieties

Abstract

Contents

• A. C* actions on projective varieties

• B. The B-B decomposition

• C. The Homology Basis Theorem

• D. A generalization of the Homology Basis Theorem

• E. Holomorphic vector fields and the cohomology ring

• F. Borel's Theorem and holomorphic vector fields

• G. Holomorphic vector fields with one zero

• H. A remark on rationality

• I. Closing remarks