A sharp lower bound for the canonical volume of 3-folds of general type

• Autores: Meng Chen
• Localización: Mathematische Annalen, ISSN 0025-5831, Vol. 337, Nº. 4, 2007, págs. 887-908
• Idioma: inglés
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• Resumen

  • Let V be a smooth projective 3-fold of general type. Denote by K 3, a rational number, the self-intersection of the canonical sheaf of any minimal model of V. One defines K 3 as the canonical volume of V. Assume p g (V) = 2. We show that , which is a sharp lower bound. Then we classify those V with small volume. We also give some new examples with p g = 2 which have maximal canonical stability index. Finally, we give an application to 4-folds of general type.

    The author is supported by the National Natural ScienceFoundation of China.