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Bando-Futaki invariants on hypersurfaces


Author: Chiung-ju Liu
Journal: Trans. Amer. Math. Soc. 362 (2010), 2923-2962
MSC (2010): Primary 32Q15; Secondary 53C55
DOI: https://doi.org/10.1090/S0002-9947-10-04969-X
Published electronically: January 21, 2010
MathSciNet review: 2592942
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Abstract: In this paper, the Bando-Futaki invariants on hypersurfaces are derived in terms of the degree of the defining polynomials, the dimension of the underlying projective space, and the given holomorphic vector field. In addition, the holomorphic invariant introduced by Tian and Chen (2002) is proven to be the Futaki invariant on compact Kähler manifolds with positive first Chern class.


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Additional Information

Chiung-ju Liu
Affiliation: TIMS, Department of Mathematics, National Taiwan University, Taipei, Taiwan 106
Email: cjliu4@ntu.edu.tw

DOI: https://doi.org/10.1090/S0002-9947-10-04969-X
Keywords: Bando-Futaki invariants, Futaki invariants
Received by editor(s): December 21, 2007
Published electronically: January 21, 2010
Additional Notes: The author was partially supported by NSF:DMS-0202508 and NSF:DMS-0347033 during her Ph.D. study
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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