The Noether inequality for smooth minimal 3-folds

Details The Noether inequality for smooth minimal 3-folds The Noether inequality for smooth minimal 3-folds

2005-07-29

arxiv.org/abs/math/0507606v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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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