The Noether inequality for smooth minimal 3-folds

De-Qi Zhang (National University of Singapore); Fabrizio Catanese (Universitaet Bayreuth); Meng Chen (Fudan University)

arxiv: math/0507606 · v1 · pith:Q67HYRDZnew · submitted 2005-07-29 · 🧮 math.AG · math.CV

The Noether inequality for smooth minimal 3-folds

Fabrizio Catanese (Universitaet Bayreuth) , Meng Chen (Fudan University) , De-Qi Zhang (National University of Singapore) This is my paper

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keywords inequalitygeneralminimalnoethersmoothtypealgebraicanalogue

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Let X be a smooth projective minimal 3-fold of general type. We prove the sharp inequality K^3_X >= (2 /3)(2p_g(X) - 5), an analogue of the classical Noether inequality for algebraic surfaces of general type

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The Noether inequality for smooth minimal 3-folds

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