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Abstract: We prove that rational and 1-rational singularities of complex spaces arestable under taking quotients by holomorphic actions of reductive and compactLie groups. This extends a result of Boutot to the analytic category and yieldsa refinement of his result in the algebraic category. As one of the maintechnical tools vanishing theorems for cohomology groups with support on fibresof resolutions are proven.



Autor: Daniel Greb

Fuente: https://arxiv.org/







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