Holomorphic vector fields on compact Kähler manifolds

Bibliographic Information

Holomorphic vector fields on compact Kähler manifolds

by Yozo Matsushima

(Regional conference series in mathematics, no. 7)

Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1971

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Note

Expository Lectures from the CBMS regional conference held at Michigan State University, East Lansing, Michigan, June 15-19, 1970

Bibliography: p. 37-38

Description and Table of Contents

Table of Contents

Kahler geometry Harmonic forms The 1-form of type $(0, 1)$ corresponding to a holomorphic vector field Laplacian $\Delta_f^{\prime\prime}$ An integral formula The case $C_1(M)\leq 0$ The case $C_1(M)\geq 0$ Study of $\mathbfa_f$ Theorems of Lichnerowicz A remark on holomorphic vector fields on projective algebraic manifolds The Albanese variety of a Kahler manifold and the Jacobi map The case of Hodge manifolds $G$-sheaves The action of Aut$_0(M)$ on complex line bundles over $M$ The Lie derivative of a complex line bundle The kernel of the homomorphism $p_F$ Proof of the Blanchard Theorem Bibliography.

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