The Noether inequality for smooth minimal 3-folds
Algebraic Geometry
2018-06-20 v1 Complex Variables
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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Cite
@article{arxiv.math/0507606,
title = {The Noether inequality for smooth minimal 3-folds},
author = {Fabrizio Catanese and Meng Chen and De-Qi Zhang},
journal= {arXiv preprint arXiv:math/0507606},
year = {2018}
}
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16 pages