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math.AGJul 29, 2005
authors
  • Fabrizio Catanese
  • Meng Chen
  • De-Qi Zhang
institutions
  • Fudan University
  • National University of Singapore
  • University of Bayreuth
arXiv abstractPDF
paper

The Noether inequality for smooth minimal 3-folds

arXiv:math/0507606

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

16 pages

References in corpus (1)

  • Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds
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