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The Noether inequality for smooth minimal 3-folds

Fabrizio Catanese, Meng Chen, De-Qi Zhang

math.AGarXiv:math/0507606

Abstract

Let X be a smooth projective minimal 3-fold of general type. We prove the sharp inequality K3X >= (2 /3)(2pg(X) - 5), an analogue of the classical Noether inequality for algebraic surfaces of general type

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