Compact K\"ahler manifolds with elliptic homotopy type
classification
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keywords
ahlerelliptichomotopytypecompactconnectedmanifoldssimply
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Simply connected compact K\"ahler manifolds of dimension up to three with elliptic homotopy type are characterized in terms of their Hodge diamonds. This is applied to classify the simply connected K\"ahler surfaces and Fano threefolds with elliptic homotopy type.
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