Bando-Futaki invariants on hypersurfaces

Liu, Chiung-ju

doi:10.1090/S0002-9947-10-04969-X

Bando-Futaki invariants on hypersurfaces
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by Chiung-ju Liu PDF

Trans. Amer. Math. Soc. 362 (2010), 2923-2962 Request permission

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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