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A note on the holomorphic invariants of Tian-Zhu - MaRDI portal

A note on the holomorphic invariants of Tian-Zhu (Q1428803)

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A note on the holomorphic invariants of Tian-Zhu
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    A note on the holomorphic invariants of Tian-Zhu (English)
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    18 May 2004
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    One obtains an explicit formula of the form \[ F_X(v)= -(n- d+ 1)^{n-1} d\Biggl(k+ \sum^n_{i=0} v^i {\partial\log\sigma(X)\over\partial X^i}\Biggr) \] for the Tian-Zhu invariants in the case of hypersurfaces \(M\subset \mathbb C \mathbb P^n\).
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    Kähler manifold
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    Kähler-Ricci soliton
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    Futaki invariant
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    Tian-Zhu invariant
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    Kähler-Einstein metric
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    Chern class
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    smooth hypersurface
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    holomorphic invariant
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