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ÑÅÌÈÍÀÐÛ |
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Geometry of logarithmic forms and deformations of complex structures Sheng Rao Wuhan University |
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Àííîòàöèÿ: We present a new method to solve certain dbar-equations for logarithmic differential forms by using harmonic integral theory for currents on Kahler manifolds. As applications, we generalize the result of Deligne about closedness of logarithmic forms, give geometric and simpler proofs of Deligne's degeneracy theorem for the logarithmic Hodge to de Rham spectral sequences at Furthermore, for a family of logarithmic deformations of complex structures on Kahler manifolds, we construct the extension for any logarithmic This talk is based on a joint work with Kefeng Liu and Xueyuan Wan. ßçûê äîêëàäà: àíãëèéñêèé |