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Effective vanishing theorems for ample and globally generated vector bundles
Effective vanishing theorems ample globally generated vector bundles
2018/4/19
By proving an integral formula of the curvature tensor of E⊗detE, we observe that the curvature of E⊗detE is very similar to that of a line bundle and obtain certain new Kodaira-Akizuki-Na...
Positivity and vanishing theorems of ample vector bundles
Positivity vanishing theorems ample vector bundles
2018/4/19
In this paper, we study the Nakano-positivity and dual-Nakano-positivity of certain adjoint vector bundles associated to ample vector bundles. As applications, we get new vanishing theorems about ampl...
Random almost holomorphic sections of ample line bundles on symplectic manifolds
holomorphic sections line bundles on symplectic manifolds
2010/10/29
The spaces $H^0(M, L^N)$ of holomorphic sections of the powers of an ample line bundle $L$ over a compact K\"ahler manifold $(M,\omega)$ have been generalized by Boutet de Monvel and Guillemin to spa...