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On the vector fields
on an algebraic homogeneous space
Yoshifumi Kato |
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Vol. 108 (1983), No. 2, 285–294
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Abstract |
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We construct a holomorphic vector field V with isolated zeros on an algebraic homogeneous space X = G∕P and show that the Koszul complex defined by V gives much information concerning the cohomology groups of X. Our results give useful examples to the studies of J. B. Carrell and D. Lieberman. |
Mathematical Subject Classification 2000
Primary: 32M10
Secondary: 14M17, 32L99
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Milestones
Received: 6 November 1980
Revised: 1 July 1981
Published: 1 October 1983
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Authors |
| Yoshifumi Kato | |
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