Canonical Class Inequality for Fibred Spaces
classification
🧮 math.AG
keywords
inequalitycanonicalclassfamiliesapplicationcherncurvedimensional
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We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of 3-folds with smooth families of minimal surfaces of general type over a curve, $c_1^3<18c_3$.
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