Holomorphic C* Actions and Vector Fields on Projective Varieties

J. B. Carrell

Source: Topics in the Theory of Algebraic Groups (Notre Dame, Ind.: University of Notre Dame Press, 1982), 1-37.

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