SU\G(𝔸)/K·U

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First Chern class and holomorphic tensor fields

First Chern class and holomorphic tensor fields

Let M be an n -dimensional compact Kaehler manifold, TM its (holomorphic) tangent bundle and T*M its cotangent bundle. Given a complex vector bundle E over M , we denote its m -th symmetric tensor power by S m E and the space of holomorphic sections of E by Γ(E …