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The Noether inequality for smooth minimal 3-folds

Fabrizio Catanese·Meng Chen·De-Qi Zhang
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Abstract

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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Fabrizio Catanese, Meng Chen, De-Qi Zhang. 2005-07-29. The Noether inequality for smooth minimal 3-folds. https://arxiv.org/abs/math/0507606

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