Geometry of holomorphic vector fields and applications of Gm-actions to linear algebraic groups

A generalization of a theorem of N.R. 0'Brian, zeroes of holomorphic vector fields and the Grothendieck residue, Bull. London Math. Soc, 7 (1975) is given. The theorem of Riemann-Roch and Hirzebruch for V-equivariant holomorphic vector bundles is obtained, via holomorphic vector fields, in the...

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Bibliographic Details
Main Author: Akyildiz, Ersan
Language:English
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/2429/20644